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

Author

Muniru A Asiru, Mar 04 2018

Keywords

• nonn

Examples

			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.
		

Links

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

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).

Programs

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]);