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

1,1

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.

Sequence in context: A193364 A074509 A343623 * A282704 A276746 A112368

Adjacent sequences: A282702 A282703 A282704 * A282706 A282707 A282708

Keyword

nonn

Author

N. J. A. Sloane, Feb 26 2017

Extensions

Corrected and extended by Hans Havermann, Mar 12 2017

Status

approved