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

Offset: 1

Author

Ilya Gutkovskiy, Jan 07 2024

Keywords

• nonn

Examples

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

Crossrefs

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

Programs

Mathematica

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