A300364 Balanced primes of order thirteen.

353, 2351, 3673, 3863, 4759, 6271, 8539, 8821, 11261, 12073, 17839, 26711, 32797, 33769, 34679, 41357, 53269, 60217, 64879, 64891, 68713, 88493, 90121, 91811, 101347, 101411, 101641, 108139, 108203, 114659, 122029, 123637, 127843, 128237, 130447, 133279

Offset

1,1

Links

Muniru A Asiru, Table of n, a(n) for n = 1..7200

Example

353 is a member because 353 = 271 + 277 + 281 + 283 + 293 + 307 + 311 + 313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419 + 421 + 431 + 433 = 9531/27.

Prog

(GAP) P:=Filtered([1..150000], IsPrime);;
a:=List(Filtered(List([0..13000], k->List([1..27], j->P[j+k])), i->Sum(i)/27=i[14]), m->m[14]);

Crossrefs

Cf. Balanced primes of order b: A006562 (b=1), A082077 (b=2), A082078 (b=3), A082079 (b=4), A096697 (b=5), A096698 (b=6), A096699 (b=7), A096700 (b=8), A096701 (b=9), A096702 (b=10), A096703 (b=11), A096704 (b=12), this sequence (b=13), A300365 (b=14).

Sequence in context: A259958 A126657 A122718 * A098678 A056216 A101219

Adjacent sequences: A300361 A300362 A300363 * A300365 A300366 A300367

Keyword

nonn

Author

Muniru A Asiru, Mar 04 2018

Status

approved