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A300365
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Balanced primes of order fourteen.
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3
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5297, 15647, 22073, 22501, 26309, 34721, 43499, 44111, 48809, 57529, 58171, 66797, 69151, 70199, 74551, 76493, 86959, 91297, 93169, 93199, 94343, 102217, 110777, 112289, 113093, 132361, 133493, 135461, 139921, 146021, 155303, 156521, 162557, 163753, 163789
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OFFSET
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1,1
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LINKS
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Muniru A Asiru, Table of n, a(n) for n = 1..6600
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EXAMPLE
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5297 is a member because 5297 = 5167 + 5171 + 5179 + 5189 + 5197 + 5209 + 5227 + 5231 + 5233 + 5237 + 5261 + 5273 + 5279 + 5281 + 5297 + 5303 + 5309 + 5323 + 5333 + 5347 + 5351 + 5381 + 5387 + 5393 + 5399 + 5407 + 5413 + 5417 + 5419 = 153613/29.
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PROG
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(GAP) P:=Filtered([1..200000], IsPrime);;
a:=List(Filtered(List([0..17000], k->List([1..29], j->P[j+k])), i->Sum(i)/29=i[15]), m->m[15]);
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CROSSREFS
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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), A300364 (b=13) this sequence (b=14).
Sequence in context: A237002 A178027 A053397 * A227486 A252189 A204838
Adjacent sequences: A300362 A300363 A300364 * A300366 A300367 A300368
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KEYWORD
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nonn
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AUTHOR
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Muniru A Asiru, Mar 04 2018
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STATUS
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approved
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