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

1,1

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

Links

Table of n, a(n) for n=1..13.

Example

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

Crossrefs

Cf. A002110, A088250, A088251.

Sequence in context: A069503 A238400 A266276 * A334021 A196303 A048979

Adjacent sequences: A088249 A088250 A088251 * A088253 A088254 A088255

Keyword

nonn

Author

Amarnath Murthy, Sep 26 2003

Extensions

More terms from Farideh Firoozbakht, Feb 21 2004

Status

approved