login
A282705
Smallest prime factor of A282704.
3
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
factordb.com, Status of A282704(98).
CROSSREFS
Sequence in context: A193364 A074509 A343623 * A282704 A276746 A112368
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 26 2017
EXTENSIONS
Corrected and extended by Hans Havermann, Mar 12 2017
STATUS
approved