A368850 - OEIS

A368850

Primes that are equal to the sum of the first k proper prime powers for some k.

37, 89, 3391, 6547, 10271, 20233, 88397, 2256827, 6160597, 11073263, 14337313, 15797057, 18938809, 24514339, 28298057, 29442893, 33119963, 40078453, 118950121, 128935063, 135825923, 154641481, 209301217, 244837321, 342462997, 471596659, 498175681

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..27.

EXAMPLE

37 is a term because 37 is a prime and 37 = 4 + 8 + 9 + 16 = 2^2 + 2^3 + 3^2 + 2^4.

MATHEMATICA

Select[Accumulate[Select[Range[5000000], PrimeOmega[#] > 1 && PrimePowerQ[#] &]], PrimeQ[#] &]

CROSSREFS

Cf. A000040, A013918, A025475, A066525, A098562, A246547.

Sequence in context: A157043 A246930 A142525 * A132360 A117854 A145480

Adjacent sequences: A368847 A368848 A368849 * A368851 A368852 A368853

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jan 07 2024

STATUS

approved