S/N search

Discussion in 'Paper Money' started by davidh, Jul 20, 2015.

  1. davidh

    davidh soloist gnomic

    There used to be a company that would pick out certain serial numbers for bills. I suppose they would get a request and then get bundles of new bills containing the requested number. At any rate that was 20-30 years ago and they're no longer around (that I know of). Anyway, I've been trying to find bills of any denomination, any series, new or used, with the following S/N's:
    31415926 or 31415927
    27182818
    14142135 or 14142136
    16180339 or 16180340

    These are, of course mathematical equivalents ofr π, e, √2 and Phi.
     
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  3. Nevadabell

    Nevadabell A picture of me.

    I used
    I used Cool Numbers and entered the numerical combination of a bill I had. Apparently only six out of 100 bills in a given pack will contain prime numbers.
     
  4. davidh

    davidh soloist gnomic

    Not quite so. For serials between 00000001 and 00000100 there are 25 primes. Between 00000101 and 00000200 there are 20. Between 00000201 and 00000300 there are 16. The number of primes in any sequence of 100 bills with eight digit serials drops on a roughly logarithmic curve so that between 55555501 and 55555600 there are 8 primes. At the far end of possible serial numbers, between 99999899 and 99999999 there are 5 primes. In the entire range of serial numbers from 00000001 through 99999999, there are 5,761,455 primes. The larger a number is, the less likely it is to be prime.

    ref: www.wolframalpha.com
     
  5. Nevadabell

    Nevadabell A picture of me.

    CoolNumbers' estimate was 5.8% of bills, which I rounded as 6%.
     
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