A227933 - OEIS

A227933

Smallest sets of 6 consecutive primes with equal digital sum. The initial prime is listed.

354963229, 448024483, 467739719, 475313609, 525523709, 771943583, 790277219, 881160173, 901572019, 925569683, 1051470419, 1085896727, 1110999817, 1285560163, 1331768783, 1455016319, 1472310383, 1519074619, 1628600381, 1815368519, 1914032047, 1990306673

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OFFSET

1,1

LINKS

Shyam Sunder Gupta, Table of n, a(n) for n = 1..46

EXAMPLE

354963229 is in the sequence because 354963229, 354963283, 354963319, 354963337, 354963373 and 354963391 are consecutive primes and the sum of the digits of each = 43

MATHEMATICA

a = {}; m = 1; s = 1; Do[If[(y = Apply[Plus, IntegerDigits[x = Prime[n]]]) == s , m = m + 1; If[m == 6, AppendTo[a, Prime[n - 5]]], m = 1]; s = y, {n, 2, 200000000}]; a

CROSSREFS

Cf. A066540, A209396, A210629, A071613, A227931.

Sequence in context: A189124 A189125 A258610 * A159300 A308636 A125623

Adjacent sequences: A227930 A227931 A227932 * A227934 A227935 A227936

KEYWORD

nonn,base

AUTHOR

Shyam Sunder Gupta, Oct 06 2013

STATUS

approved