A180688 Primes of the form 223092870*m + 2236133941 (m>=0).

2236133941, 2459226811, 2682319681, 2905412551, 3128505421, 3351598291, 3574691161, 3797784031, 4020876901, 4243969771, 4467062641, 4690155511, 4913248381, 5136341251, 5359434121, 5582526991, 6474898471, 8928920041

Offset: 1

Author

Bruno Berselli, Sep 17 2010 - Sep 27 2010

Keywords

• nonn
• easy

Comments

For m=0..15 there are sixteen consecutive primes.

References

• Manfred R. Schroeder, Number theory in Science and Communication, Springer, 1997 (3rd ed.), p. 49.

Links

• Bruno Berselli and Vincenzo Librandi, Table of n, a(n) for n = 1..1000 (first 600 terms from Bruno Berselli)
• Factor Database, Factorizations of 223092870*n+2236133941.

Programs

Magma

[a: m in [0..30] | IsPrime(a) where a is 223092870*m+2236133941]; // Vincenzo Librandi, Aug 01 2012

Mathematica

Select[Table[223092870*n+2236133941,{n,0, 1000}],PrimeQ] (* Vincenzo Librandi, Aug 01 2012 *)