|
Search: id:A073024
|
|
|
| A073024 |
|
Primes p such that p-1 has a prime factor q > p^(2/3). |
|
+0
3
|
|
| 11, 23, 47, 59, 83, 107, 149, 167, 173, 179, 223, 227, 263, 269, 283, 293, 317, 347, 359, 367, 383, 389, 439, 467, 479, 499, 503, 509, 557, 563, 569, 587, 607, 619, 643, 653, 719, 773, 787, 797, 809, 823, 839, 857, 863, 887, 907, 983, 1019, 1031, 1039, 1049, 1087, 1091
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Etienne Fouvry showed that a positive fraction of all primes have this property.
|
|
REFERENCES
|
Etienne Fouvry, Theoreme de Brun-Titchmarsh: application au theoreme de Fermat, Invent. Math. 79 (1985), no. 2, 383-407.
|
|
LINKS
|
Charles R Greathouse IV, Table of n, a(n) for n=1,...,27449.
|
|
MAPLE
|
with(numtheory); a := []; for i from 2 to 1000 do p := ithprime(i); t1 := factorset(p-1); q := t1[nops(t1)]; if q^3 > p^2 then a := [op(a), p]; fi; od:
|
|
CROSSREFS
|
Cf. A005384, A005385, A073025, A073026.
Sequence in context: A146451 A029468 A068231 this_sequence A161897 A145994 A139834
Adjacent sequences: A073021 A073022 A073023 this_sequence A073025 A073026 A073027
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Aug 23 2002
|
|
|
Search completed in 0.002 seconds
|
