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.

A088251 A088250(n) + 1.

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%I A088251 #10 Oct 19 2017 03:14:24
%S A088251 2,2,3,331,10831,25411,512821,512821,12960606121,434491727671,
%T A088251 1893245380951,71023095613471,878232256181281
%N A088251 A088250(n) + 1.
%C A088251 The n-th row of the following triangle contains smallest set of n primes which form n successive terms of an arithmetic progression from the 2nd to (n+1)th term with the first term 1. 2 2 3 3 5 7 331 661 991 1321 ... Sequence contains the first column.
%C A088251 Conjecture: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.
%C A088251 Minimal primes p beginning a chain of n primes in an arithmetic progression of common difference  p-1. - _Robin Garcia_, Jun 22 2013
%C A088251 Least prime p such that pi = i*p-i+1 is prime for i = 2 to i = n. - _Robin Garcia_, Jun 22 2013
%C A088251 a(n) is 1 mod 10 for n > 3 because if p is 3 mod 10, then all (2+5*t)*p -(1+5*t) for t=0,1,2,... are 5 mod 10; if p is 7 mod 10, all (4+5*t)*p -(3+5*t) are 5 mod 10 for t=0,1,2...;  if p is 9 mod 10, all (3+5*t)*p - (2+5*t) are 5 mod 10 for t=0,1,2... - _Robin Garcia_, Jun 22 2013
%e A088251 The n-th row of the following triangle contains smallest set of n primes which form n successive terms of an arithmetic progression from the 2nd to (n+1)-st term with the first term 1.
%e A088251 2
%e A088251 2 3
%e A088251 3 5 7
%e A088251 331 661 991 1321
%e A088251 ...
%e A088251 Sequence contains the first column.
%Y A088251 Cf. A002110, A088250, A088252.
%K A088251 nonn
%O A088251 1,1
%A A088251 _Amarnath Murthy_, Sep 26 2003
%E A088251 More terms from _Don Reble_ and _Farideh Firoozbakht_, Feb 17 2004