A337028 Numbers k such that k + A001414(k), k - A001414(k) and k mod A001414(k) are all prime.

10, 12, 14, 15, 20, 26, 33, 35, 38, 51, 65, 68, 86, 96, 111, 112, 116, 161, 201, 203, 206, 209, 215, 221, 278, 297, 300, 304, 321, 371, 395, 398, 413, 420, 471, 533, 545, 551, 570, 626, 671, 698, 720, 755, 779, 803, 837, 858, 866, 910, 972, 1020, 1046, 1124, 1155, 1161, 1286, 1326, 1349, 1385

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3)=14 is in the sequence because A001414(14)=9, and 14-9=5, 14+9=23 and 14 mod 9 = 5 are all prime.

Maple

A001414:= proc(n) local F; F:= ifactors(n)[2]; convert(map(convert, F, `*`), `+`) end proc:
filter:= proc(n) local s; s:= A001414(n); isprime(n+s) and isprime(n-s) and isprime(n mod s) end proc:
select(filter, [$1..2000]);

Crossrefs

Cf. A001414. Subset of A050705.

Sequence in context: A127653 A050705 A095406 * A050769 A330724 A351998

Adjacent sequences: A337025 A337026 A337027 * A337029 A337030 A337031

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Aug 11 2020

Status

approved