A224611 Smallest j such that j*2*p(n)^3-1=q is prime, j*2*p(n)*q^2-1=r, j*2*p(n)*r^2-1=s, where r and s are also prime.

902, 145, 771, 1060, 3569, 520, 938, 294, 2457, 3911, 1650, 483, 8604, 3450, 2345, 548, 25004, 1635, 5767, 14519, 2518, 6394, 198, 7961, 4272, 8370, 4146, 654, 4489, 6987, 222, 5426, 5250, 17670, 7691, 360, 3994, 20821, 9008, 6525, 9204, 1464, 6111, 6625, 11229, 3315, 62340, 735, 6962, 5236

Offset

1,1

Links

Pierre CAMI, Table of n, a(n) for n = 1..3500

Mathematica

a[n_] := For[j = 1, j < 10^7, j++, p = Prime[n]; If[PrimeQ[q = j*2*p^3 - 1] && PrimeQ[r = j*2*p*q^2 - 1] && PrimeQ[j*2*p*r^2 - 1], Return[j]]]; Table[ Print[an = a[n]]; an, {n, 1, 50}] (* Jean-François Alcover, Apr 12 2013 *)

Crossrefs

Cf. A224491, A224609, A224610, A224612.

Sequence in context: A250782 A031738 A268585 * A345537 A345789 A031528

Adjacent sequences: A224608 A224609 A224610 * A224612 A224613 A224614

Keyword

nonn

Author

Pierre CAMI, Apr 12 2013

Status

approved