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.

2, 3, 7, 1321, 54151, 152461, 3589741, 4102561, 116645455081, 4344917276701, 20825699190451, 852277147361641, 11417019330356641

Offset: 1

Author

Amarnath Murthy, Sep 26 2003

Keywords

• nonn

Comments

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

A088252(n)=n*A088250(n)+1=n*A088251(n)-n+1. - Farideh Firoozbakht, Feb 21 2004

Examples

			2
2 3
3 5 7
331 661 991 1321
...
		

Crossrefs

Cf. A002110, A088250, A088251.

Extensions

More terms from Farideh Firoozbakht, Feb 21 2004