A088252 - OEIS

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 #5 Dec 05 2013 19:56:33

%S 2,3,7,1321,54151,152461,3589741,4102561,116645455081,4344917276701,

%T 20825699190451,852277147361641,11417019330356641

%N 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 Conjectures: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.

%C A088252(n)=n*A088250(n)+1=n*A088251(n)-n+1. - _Farideh Firoozbakht_, Feb 21 2004

%e 2

%e 2 3

%e 3 5 7

%e 331 661 991 1321

%e ...

%Y Cf. A002110, A088250, A088251.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Sep 26 2003

%E More terms from _Farideh Firoozbakht_, Feb 21 2004