cp's OEIS Frontend

A088252 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. Sequence contains the leading diagonal.

%I A088252 #5 Dec 05 2013 19:56:33
%S A088252 2,3,7,1321,54151,152461,3589741,4102561,116645455081,4344917276701,
%T A088252 20825699190451,852277147361641,11417019330356641
%N A088252 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. Sequence contains the leading diagonal.
%C A088252 Conjectures: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.
%C A088252 A088252(n)=n*A088250(n)+1=n*A088251(n)-n+1. - _Farideh Firoozbakht_, Feb 21 2004
%e A088252 2
%e A088252 2 3
%e A088252 3 5 7
%e A088252 331 661 991 1321
%e A088252 ...
%Y A088252 Cf. A002110, A088250, A088251.
%K A088252 nonn
%O A088252 1,1
%A A088252 _Amarnath Murthy_, Sep 26 2003
%E A088252 More terms from _Farideh Firoozbakht_, Feb 21 2004