A186206 The first n-digit prime in the decimal expansion of gamma, the Euler-Mascheroni constant.

5, 53, 577, 3359, 64901, 939923, 2402431, 72156649, 215664901, 7215664901, 24310421593, 721566490153, 2359880576723, 42159335939923, 359399235988057, 6749514631447249, 98805767234884867, 402431042159335939

Offset: 1

Author

Michel Lagneau, Feb 15 2011

Keywords

• nonn
• base

Comments

Euler-Mascheroni Gamma = 0.577215664901532860606512090082402431042...

Examples

			Positions in A001620: 1, 13, 1, 43, 8, 46, 30, 3, 4, 3, 33, 3, 50, 38, 44, 96, 53, 31, 40, 64, ...
		

Crossrefs

Cf. A001620.

Programs

Maple

Digits := 10000: p0 := evalf(gamma)*10:for d from 1 to 20 do: id:=0:for i from
  0 to 50000 while(id=0) do :q0:=trunc(p0*10^(i+d-1)): x:= irem(q0,10^d): if type(x,prime)=true
  and length(x)=d then printf(`%d, `,x):id:=1: else fi:od:od:~

Mathematica

With[{eg=RealDigits[EulerGamma,10,250][[1]]},Table[First[Select[ FromDigits/@Partition[eg,n,1],PrimeQ[#]&&IntegerLength[#]==n&]], {n,20}]] (* Harvey P. Dale, Sep 29 2011 *)