Statistical Analysis of 60 Boxes of Nickels

Back in October of 2024 I started a project to assemble a complete Jefferson Nickel collection (1938 to date) just from circulated coins. I started searching boxes of circulated nickels from banks. To date, I’ve searched 60 boxes of nickels. While I don’t yet have a complete collection, I am close, I am only missing six nickels out of 194: 1938D, 1938S, 1939D, 1939S, 1943D, and 1950D.

Along the way, I’ve recorded some data about the nickels I’ve found, which I think helps to estimate the survivorship of older nickels still in circulation.

You may wish to refer to my previous post Assembling A Complete Jefferson Nickel Collection Just From Circulation, where I detail the results of each box searched.

This table shows a list of which “special” coins were found in each box, at the bottom are totals along with a per-box average for each type.

Box Date Shield Liberty Buffalo War Proof Canadian Bermuda Other Countries
1 1 3
2 1 2 Bahamas
3
4
5
6 2 1
7 1
8 2
9 1
10 1 1 1
11 1 1 1
12 1 2
13
14
15
16
17 Saudi Arabia
18 1
19 1
20 1 2
21 1
22 1
23 1
24 1 1 1
25 1
26 2
27 2 2 2
28 1 1 1
29 1 1 1 1 1
30 2 6 2 2
31 1
32 1 1
33 1 1
34 1 3 2
35 1 2
36 2 1 1
37 2
38 1
39
40 1 Swiss
41 1 1
42 1
43 1 1
44 1 1
45
46 1
47 1
48 2 1
49 2 Belgium
50 3
51 1 1 1 1
52 1 1
53 1
54 2
55 1 1 Mexico, Panama
56 1 1 2
57 1 1
58 2 1
59 2
60 1 2
60 Totals: 0 4 33 35 12 37 6
Per Box 0.00000 0.06667 0.55000 0.58333 0.20000 0.61667 0.10000

While unsurprisingly I haven’t found any Shield nickels (yet??) I have found four Liberty/V nickels.  Curiously I’ve found roughly equal numbers of Buffalo, War (Silver) and Canadian nickels. They turn up on average a little better than one every other box, although you can see there’s occasionally several per box. Also a nickels from several other countries. They occur often enough from The Bahamas to warrant its own column.

Box 30 was a particularly good box with two Liberty, six Buffalo, and two silver War nickels. Possibly part of a mini collection dump?

Next here’s a table showing how many of each silver War nickel I’ve found, along with the mintage for each year/mintmark and the number found per million minted. There’s too little data to see a uniform number found per mintage, although you can see it’s starting to get there. I’ve yet to find any 1943-D, the lowest mintage, and I only found the one 1944-S, the second lowest mintage, in box 60.

Year Mintage Found Found Per Million Minted
1942-P Silver 57873000 7 0.120954504
1942-S Silver 32900000 1 0.030395137
1943-P Silver 271165000 7 0.025814541
1943-D Silver 15294000 0
1943-S Silver 104060000 5 0.048049202
1944-P Silver 119150000 4 0.033571129
1944-D Silver 32309000 1 0.030951128
1944-S Silver 21640000 1 0.046210721
1945-P Silver 119408100 7 0.058622489
1945-D Silver 37158000 1 0.026912105
1945-S Silver 58939000 1 0.016966694
Total Mintage 869896100 35 0.04023469

 

I’ve found so many Buffalo nickels along the way that I’ve also started filling an album with them, which I am also trying to fill as a parallel project. I’m not sure it’s possible to complete such an album just from circulation, but you never know… I have found several tougher (lower mintage) dates so far.

Year Mintage Found Collection
1913 Variety 1 30,993,520 1 1
1913-D Variety 1 5,337,000
1913-S Variety 1 2,105,000 1 1
1913 Variety 2 29,858,700
1913-D Variety 2 4,156,000
1913-S Variety 2 1,290,000
1914 20,665,738
1914-D 3,912,000
1914-S 3,470,000
1915 20,987,270
1915-D 7,569,000
1915-S 1,505,000
1916 63,498,066 1 1
1916-D 13,333,000
1916-S 11,860,000
1917 51,424,019 1 1
1917-D 9,910,000
1917-S 4,193,000
1918 32,086,314 3 1
1918-D 8,362,000
1918-S 4,882,000 1 1
1919 60,868,000 1 1
1919-D 8,006,000
1919-S 7,521,000
1920 63,093,000 2 1
1920-D 9,418,000 2 1
1920-S 9,689,000 1 1
1921 10,663,000
1921-S 1,557,000
1923 35,715,000
1923-S 6,142,000
1924 21,620,000
1924-D 5,258,000
1924-S 1,437,000
1925 35,565,100 1 1
1925-D 4,450,000
1925-S 6,256,000
1926 44,693,000 1 1
1926-D 5,638,000
1926-S 970,000
1927 37,981,000 1 1
1927-D 5,730,000 1 1
1927-S 3,430,000
1928 23,411,000 1 1
1928-D 6,436,000 1 1
1928-S 6,936,000
1929 36,446,000 2 1
1929-D 8,370,000
1929-S 7,754,000
1930 22,849,000
1930-S 5,435,000
1931-S 1,200,000
1934 20,213,003 1 1
1934-D 7,480,000
1935 58,264,000 2 1
1935-D 12,092,000
1935-S 10,300,000
1936 119,001,420 5 1
1936-D 24,814,000
1936-S 14,930,000
1937 79,485,769 3 1
1937-D 17,826,000
1937-S 5,635,000 1 1
1938-D 7,020,000
Total: 1,212,995,919 34 22
Percent of album filled: 34.4

The collection column contains a 1 for each year/mintmark I have found. So far I’ve filled over a third of the album. Not bad!  I don’t think I’ll try assembling a Liberty/V nickel album. Probably not.

Part way through this project, the last 16 boxes actually, I started to record each and every nickel found, to get more detailed statistical data, 31997 nickels in total (missing 3 nickels due either to damaged dates or short rolls).

I then plotted this data for each year, relative to the number of nickels minted for that year, and also multiplied by a scaling factor relative to the total number of nickels searched. Here’s my idea… Let’s (incorrectly but simply) assume that every nickel minted stays in circulation. We know that’s not the case, but let’s start there. Let’s also assume the nickels minted are uniformly mixed.

Think of it this way: Assume all the nickels ever minted were dumped into a giant container, say a huge swimming pool, and mixed. And each box of nickels is 2,000 nickels randomly selected from it. We’d expect the number of each nickel (year/mint) found to be proportional to the number minted.

In reality, coins are continuously removed from circulation by several mechanisms. First, coins are lost. They fall on the ground, into sofa cushions, wherever. They get removed, permanently, from circulation. Another way they get removed from circulation is purposely, mostly by collections. Older (Buffalo/Liberty) nickels, silver War nickels, key dates, etc.  They also get temporarily removed from circulation as people throw their change into jars, to then later take to the bank and dump. Perhaps much later. This mechanism I suspect often accounts for many of the cool finds we see. I suppose “collection dumps” could be included in this category.

Another factor is location. I am in Maryland. In general new coins from Philadelphia are released here. I say in general because I have, rarely, gotten entire boxes of shiny new coins from Denver. But the vast majority of the time I expect they are from Philadelphia. It takes time for coins from Denver to work their way here, and even longer for those from San Francisco. So I expect much fewer of them to be found here.

By comparing what we actually find in circulation to what we “should” find, i believe we can, at least crudely, estimate what has been removed from circulation, both due to loss and willful removal by collectors, and even, also crudely, separate those two numbers.

This first graph shows these plots for Jefferson nickels from all three mints. Philadelphia is orange, Denver green, San Francisco blue. The thin trace for each is the actual data, the thicker line is a least squares regression fit.

To make viewing the graphed data easier, I’ve created three separate graphs, each showing just one mint. Below is Philadelphia. A few things are striking to me. First, you can see the substantial over-representation of nickels from recent years. 2023 in particular of course, but others as well. This quickly falls with a knee in the curve roughly around 2010, then begins to taper off as you go back further in time. Nickels from the 1990s are still plentiful, the 80s less so, and the 70s much less so. Noticeably few 60s nickels are found (except for 1964 of course!), and then by the 40s and 50s they’re really uncommon. 30s are really tough, I average one per box. The fairly low mintages in the late 40s and early to mid 50s is likely a factor as well, as well as removal of most of the silver War nickels.

You can also see the dip in 2009 which was a very low mintage year. This graph is adjusted for mintage however. So 2009 nickels are being found even lower in proportion to what you would expect, by about two thirds! This suggests to me that many have been removed from circulation by collectors. I have seen claims that most of the 2009 nickels were sent to Puerto Rico, but have never found concrete evidence this actually happened, so I am not sure if it is indeed the case. 2024 was another low mintage year, and again they are found well below their expected (low) numbers. And again, I know many collectors keep every 2024 nickel they find (I am guilty of this myself).

You can also see the dip to nearly zero during the period silver War nickels were minted, as most have been removed from circulation.

 

Next is the graph just for Denver. There’s a few interesting things here. First, the number I find is much lower than expected, since relatively speaking few make it this far east. Second, you can see a general trend of finding slightly more of them from earlier years, I suspect as they’ve had longer to work their way east. Third, there’s a big bump in the late 60s and early 70s. No nickels were minted in Philadelphia 1968-1970, and few in 1971 vs Denver, so I suspect many were shipped by the Mint to the east coast. Finally you can see the effects of the removal of silver War nickels, and the overall low mintage numbers from Denver in the late 1930s and after the war in the late 1940s.

 

And here’s the graph for San Francisco. I don’t have a lot of data as I have only found 108 nickels from San Francisco in 16 boxes, vs 6,397 from Denver and 25,470 from Philadelphia. So that makes the graph quite noisy. And there’s the huge gap 1955-1967 with no S mint mark nickels, and then only 1968-1970 after that. The 1946-S blip really sticks out, but it only represents a total of 3 nickels! So it’s likely a statistical aberration due to a small sample set.

The ratio of found vs expected to find non silver nickels from the 1940s is 0.27. For the silver War nickels, this drops to 0.024, or 8.8%. If we assume that the numbers should be the same if silver War nickels were not selectively removed from circulation, this suggests that about 91% of them have been selectively removed, or about 9 out of 10. To me, this sounds like a very believable estimate as collectors have been removing them from circulation for decades. And this is on top of what was “naturally” lost, only about 2.4% of silver War nickels minted appear to remain in circulation.

The ratio of found vs expected to find Buffalo nickels from the 1940s is 0.016. It’s difficult to estimate what the number should be for the time period 1913-1938 assuming no selective removal, other than lower than that for the 1940s. For the 1950s, it is 0.38. So maybe it’s something less than 0.20? That would also suggest that maybe 9 out of 10 Buffalo nickels have been selectively removed from circulation? Again this is a very wild guess, but probably in the ballpark. And this is on top of what was “naturally” lost, only about 1.6% of Buffalo nickels appear to remain in circulation.

60 Boxes of nickels produced 33 Buffalo nickels and 35 silver War nickels. A total of 1,213 million Buffalo nickels were minted, and 870 million silver War nickels. Looking at ratios, 33/1213=0.272 and 35/870=0.040. So it does seem that fewer Buffalo nickels survive in circulation, relatively speaking probably due to a combination of those two factors. Buffalo nickels are also easier to spot and remove from circulation, they look substantially different.

Liberty/V nickels are even more speculative, as I have only found a total of four. The total mintage was 602 million, the ratio would be 0.0066. That’s significantly less than Buffalo nickels as expected, but I would not suggest the value itself is accurate.

Of course it’s important to note that all of this is based on what is admittedly a somewhat small sample set!  I plan on continuing to search nickel boxes for some time, which will add more data. It will be interesting to see how the numbers change as more data is accumulated.

I welcome comments and suggestions on this analysis – please feel free to point out something I may have overlooked!

Assembling A Complete Jefferson Nickel Collection Just From Circulation

Back on October 3, 2024 I started a quest to assemble a complete Jefferson nickel collection just from circulated coins, by going through boxes of rolled coins from bank. To date I’ve searched 60 boxes, and this is a summary of my results so far.

It started with these two boxes and three empty Whitman Classic Bookshelf albums:

And here’s the results of those first two boxes. It was really tough to find the early years as I expected. I was surprised to not find a 1973-D, but that’s just the luck of the draw I guess. I was not surprised to not find a 1968 (P) – I guess Whitman got a little ahead of themselves when they printed this album. 🙂 Otherwise I was able to find everything through 2023-D, but no 2024 nickels.

I did find two silver nickels, both 1943-D. Also five Canadian and one Bahamas.

Here’s the first two albums:

The next few boxes added a few nickels, though some boxes were duds with nothing of interest found. Here’s the status after five boxes: The second and third albums are full except for a 2024-D, and here’s what the first album looks like:

While it might seem surprising to be missing some nickels from the 1950s, that was a decade of fairly low nickel mintage, especially the first half. The 1955 (P) mintage is under 8 million for example. That year in fact turned out to be elusive for quite some time… 2009 and 2024 are also low mintage years. It wasn’t until box five that my first 2024-P nickels appeared. And still no 2024-D.

The sixth box produced my first Buffalo nickels, two in fact! Yes, they’re still out there in circulation. The 1936 was in nice condition, the 1915 had to be acid dated. Also a Canadian and the first 2024-D, along with four 2024-P nickels:

The seventh box yielded another war nickel – a 1943-P, as well as a 1940-S in petty nice condition, as well as a 1950 and 1952-D for the collection. Also some upgrades of previously found coins:

Box 8 had my first ever Buffalo nickel ender. There were two Buffalo nickels total in the box. Box 9 also had a Buffalo nickel in it. There’s still lots of them out in circulation!

Boxes 10, 11, and 12 were hunted one after another. The first box was amazing – a 1935 Buffalo nickel, and a 1906 Liberty / V nickel, both found by my daughter, and I found a 1943-P war nickel. This the first ever V nickel we’ve found in circulation. It’s really amazing to see coins this old still in circulation.

Besides those coins, in total we also got another Buffalo, a 1936, another 1943-P war nickel, a 1983-S proof, and three Canadians.
We also found four more nickels as part of my quest to build a complete Jefferson collection from circulation: 1940-D, 1941-S (found two), 1948-D (found two), and 1956 (found three). Along with a bunch of upgrades. Still missing 15 coins, 6 war nickels, plus some of the usual suspects. I’m most surprised about still missing a 1947-S, just the luck of the draw I guess.

Box 13 was a dud. Box 14 was a real dud – all shiny new 2023-P nickels! Box 15 was better: I found two needed nickels for the collection: 1947-S and 1951-D. I’m still missing 13 coins, 6 of which are silver war nickels.
I also found a Canadian, Bahamas, two proofs, and two nice 1963 nickels. The one upper left looks particularly nice. Any chance it is a proof? Only reason I ask is I found the other two, and this one came from the same box:

Box 16 was mostly a dud, nothing new, just a few minor upgrades to previously found nickels. Not even a Canadian nickel.

Box 17 was interesting, while I didn’t find any nickels I needed for the collection, or silver or Buffalo nickels, I found a 10 Halalat coin from Saudi Arabia:

Boxes 18 and 19 produced two new coins: a 1945-S and 1948-S. Also a few minor upgrades. And a Canadian nickel. As of this time, I still need 11 more: 38-D, 38-S, 39-D, 39-S, 42-S, 43-D, 44-D, 44-S, 45-D, 50-D, 55 (P):

Box 20 gave me a 1913 Type 1 Buffalo nickel, two proofs, and a nickel with a counterstamp, which are always fun to find:

Box 21 gave me… ready for this? 18 pennies. One roll even had a penny on the end of it. But I did also find two 1943-P silver war nickels, and a 1926 Buffalo nickel. Curiously enough there were a LOT of 2022 nickels, I’d say about half the box. There was a 2024 nickel, so the box wasn’t an old one that had been sitting on a shelf. Weird:

Boxes 22 and 23 were mediocre, one had two Canadian nickels.

Box 24 didn’t give me anything new I needed for the collection either, but there were two Buffalo nickels, one was a 1920-S which is a lower mintage, under 10 million made. Also two Canadian nickels and one from Bermuda.

Box 25 had one 1943-P silver war nickel. Box 26 had two silver war nickels, a 1942-P and a 1943-S:

Box 27 had a Buffalo nickel ender, and gave two Buffalo nickels – a 1937 and one that needed to be acid dated, as well as two silver war nickels, and two proof nickels. Nothing I needed for the Jefferson collection, but still a great box:

Box 28 had two nice enders, a 1928 Buffalo and a 1945-P silver war nickel. Plus there was a Canadian nickel in the box:

Box 29:

Box 30:

Box 31 has one no date Buffalo nickel and a 2009. That’s it:

Box 32 gave me a 1927-D Buffalo nickel and a 2005-S proof nickel, which ironically has a buffalo on its reverse as well! I like the comparison of the two nickel reverses:

Box 33 was another not very exciting box, although the 1936 Buffalo nickel was a nice find, plus a Canadian, and this 1963 which seems a little better struck than most, the rim is slightly thicker, the weight is correct:

Box 34, After a few boxes, I finally found a needed nickel, the 1942-S. Three silver war nickels in total, one no date Buffalo, two proofs, and a nice condition 1941 I’m using as an upgrade. Overall a decent box:

Compared to box 34, box 35 was meh. Just the one silver war nickel, and two Canadians. Not sure why I like finding Canadian nickels, it just means I lost a penny 🙂 Oh, and I did get a dime, so that helps blunt the loss I took with a box a few weeks ago that had 18!! pennies:

Box 36 had nothing I needed for the collection, but I did find two 1943-S silver war nickels, a Canadian nickel, a Bermuda nickel, a 1940-S which will be a nice upgrade for the CRH collection, and two dimes! The two dimes help make up for the box a month or two ago that had 18!!! pennies in rolls:

Box 37 had nothing I needed for the collection, but I did find two Buffalo nickels, a 1925 and a 1937:

Box 38 gave me a 1942-P silver war nickel. Also, not pictured, a 1983 Canadian nickel and two 1939 nickels, P of course, not D or S. Nothing I needed for the collection:

I got skunked with box 39 – nothing, Box 40 had nothing I needed for the collection, but I did find a 1943-P silver war nickel, a 1991 Swiss 20 rappen (which was an ender) and two dimes. Better than finding two pennies 🙂

Box 41 had nothing needed for the collection, but I did find a 1942-P silver war nickel and a 1969-S proof nickel:

Box 42 only had one Canadian nickel, nothing else of interest, and even that wasn’t interesting enough to warrant a picture.

Box 43 had nothing I needed for the collection, but I did find a 1937-S Buffalo nickel, and one Canadian nickel:

Box 44 had nothing I needed for the collection, but I did find a 1945-P silver war nickel, and one Canadian nickel:

Box 45 finally gave me a 1955 (P) nickel! That took longer than expected. I also found a 1935 Buffalo nickel. No silver war nickels or foreign:

Box 46 just had a nice condition 1974-D which was an upgrade, and a 5 cent piece from Bermuda.

Box 47 yielded nothing I needed for the collection. But I did get a 1945-P silver war nickel, and this 201?? nickel that met the business end of a power tool 🙂

Box 48 had nothing I needed for the collection. Yes, I was excited when I saw the 1938 and 1939 obverses, and they did make some nice upgrades. Plus I got two silver war nickels and the Canadian nickel:

Box 49 had nothing I needed for the collection, no Buffalo or silver war nickels. I did find two Candian nickels, and a 1 Franc coin from Belgium – my first CRH find from that country:

I found three Buffalo nickels in box 50, a 1936 and two no-date. I acid dated them, one was a 1919, the other 1920-S, both of which I need for my collection of Buffalo nickels that I am also building just from CRH (I already have a complete set). I doubt I’ll ever complete one from circulation, but I wonder how far I can get? Here’s the finds from this box:

Box 51 didn’t have anything I needed for the collection, but I did find a 1900 Liberty/V nickel (the 4th so far), a 1944-P silver war nickel, and a 1986 Canadian nickel:

Box 52 had a 1942-P silver war nickel and a Bermuda five cent piece – my 6th such coin from Bermuda in 52 boxes.

I found a 1939 in nice condition in box 53, a 1964 which looks like a proof, and a 1955 nickel, only my second found so far.

Nothing much in box 54, just two Canadian nickels.

Box 55 had nothing I needed for the collection, but I did find a 1936 Buffalo nickel, a Canadian nickel, as well as a Mexican 50 cent coin and a 5 cent coin from Panama. I believe these are the first Mexican and Panamanian coins I have found in nickel rolls. Just one 2024 nickel, well below average:

Box 56 had a 1943-S silver war nickel, a 1985-S proof, and two Canadian nickels:

In box 57 I found a 1942-P silver war nickel and a Canadian nickel. Also a few upgrades for previously found nickels:

Box 58 gave me two Buffalo nickels and a Canadian nickel. One needed to be acid dated and was a 1929, the other was a 1934, which I needed for my album I am also filling just from circulation finds:

Box 59 once again didn’t add anything new to the collection, but I did find two Buffalo nickels, two Canadian nickels, and a really nice condition 1965 nickel. One was a 1913 Type 1 (which I foolishly acid dated before checking the reverse closely enough to notice it was a Type 1), the other was a 1918-S which I needed for Buffalo nickel album I am also filling just from circulation finds. That’s worthy of its own blog post, or series of posts.

Box 60 of my quest/personal challenge to build a complete Jefferson nickel collection just from circulation produced another needed coin – the 1944-S ! I also found a very nice condition 1956 with some steps visible, a 1938 which you don’t see very often and is an upgrade, and two Canadian nickels. As of now, I’m still searching for the following nickels: 38D, 38S, 39D, 39S, 43D, 50D. The quest goes on:

And here’s what the albums look like after 60 boxes. Just six more to go! Of course, they’re the six hardest to find, the five lowest regular issue mintages, plus the lowest mintage silver war nickel, as expected. (Ignore some of the writing in the albums, I bought them used and still need to remove some old ink)

1938-1964:

1965-1989:

1990-2024: