A282705 Smallest prime factor of A282704.

3, 11, 59, 419, 31, 19, 1021019, 19399379, 41, 229, 173, 14841476269619, 919, 21519583, 53, 461, 151, 101, 281, 1115881660253397921934830779, 158616683341, 6435289534681345815798169108259, 271, 300423271

Offset: 1

Author

N. J. A. Sloane, Feb 26 2017

Keywords

• nonn

Comments

By construction, a(n) == 3 (mod 4) and a(n) > prime(n).

a(98) requires the factorization of a 215-digit composite; a(99)-a(115) = 7879, 4421, 1949, 549767, 673759959337, 20051, 29383, 661, 37712121832769, 1481189, 14344471, 7136807, 991, 62539, 2879, 205598683, 10234232245987. - Hans Havermann, Mar 24 2017

References

• T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 147.

Links

• Hans Havermann, Table of n, a(n) for n = 1..97
• factordb.com, Status of A282704(98).

Crossrefs

Cf. A282704, A282706.

Extensions

Corrected and extended by Hans Havermann, Mar 12 2017