cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A259041 Numbers n such that digital root of n is 4*(digital root of n-th prime).

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%I A259041 #8 Jun 20 2015 14:48:07
%S A259041 26,31,58,71,89,107,112,116,157,161,193,211,247,310,337,395,458,490,
%T A259041 503,535,580,584,620,688,769,778,841,850,859,868,872,877,895,949,985,
%U A259041 989,1034,1070,1079,1102,1106,1133,1138,1142,1192,1201,1210,1214,1219,1232,1255,1277,1282,1295,1300,1327,1412,1493,1511,1538
%N A259041 Numbers n such that digital root of n is 4*(digital root of n-th prime).
%C A259041 Corresponding primes:
%C A259041 101, 127, 271, 353, 461, 587, 613, 641, 919, 947, 1171, 1297, 1567, 2053, 2269, 2711, 3251, 3511, 3593, 3853, 4231, 4259, 4583, 5167, 5851, 5923, 6481, 6571, 6661, 6733, 6779, 6823, 6967, 7489, 7759, 7823, 8237, 8597, 8669, 8839, 8867, 9137, 9181, 9209, 9649, 9739, 9811, 9839, 9883.
%C A259041 Conjecture: a(n) ~ 27n. - _Charles R Greathouse IV_, Jun 18 2015
%t A259041 Reap[Do[If[FixedPoint[Total[IntegerDigits[#]]&,n]==4*Mod[Prime[n],9], Sow[{n,Prime[n]}]],{n,2000}]][[2,1]]
%o A259041 (PARI) n=0; forprime(p=2, 1e4, if(p%9*4==n++%9, print1(n", "))) \\ _Charles R Greathouse IV_, Jun 18 2015
%Y A259041 Cf. A010888, A038194, A258876, A258877, A259032, A259040.
%K A259041 nonn,base
%O A259041 1,1
%A A259041 _Zak Seidov_, Jun 17 2015