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A072743 Greater members of a pair of primes (p, q) such that, for some integer k, (p+q)/2 = 2^k and p > 2^(k-1). 4
5, 11, 19, 47, 41, 67, 173, 167, 149, 373, 349, 331, 313, 283, 271, 761, 743, 677, 641, 593, 563, 557, 521, 1471, 1447, 1429, 1321, 1297, 1291, 1279, 1237, 1171, 1129, 1051, 1039, 2999, 2909, 2903, 2879, 2837, 2819, 2789, 2777, 2729, 2687, 2663, 2657 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
For each term q=a(n), the corresponding lesser member is p=A072742(n). (Terms in this sequence are not listed in ascending order; rather, the corresponding primes p in A072742 are listed in ascending order.)
LINKS
PROG
(PARI) listkq(k) = {my(list = List()); forprime(p=2^(k-1)+1, 2^k, my(q=2^(k+1)-p); if ((q>p) && isprime(q), listput(list, q)); ); Vec(list); }
upto(k) = {my(list = List()); for (i=1, k, my(klist = listkq(i)); if (#klist, for (j=1, #klist, listput(list, klist[j]))); ); Vec(list); }
upto(11) \\ Michel Marcus, Jan 22 2022
CROSSREFS
Cf. A072742 (corresponding lesser members), A072746, A072744, A072745.
Sequence in context: A337492 A236584 A369547 * A045452 A152085 A267603
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jul 08 2002
EXTENSIONS
Name corrected by Jon E. Schoenfield, Jun 30 2021
STATUS
approved

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Last modified May 27 21:25 EDT 2024. Contains 372882 sequences. (Running on oeis4.)