login
A364947
Prime powers that are equal to the sum of the first k prime powers (including 1) for some k.
0
1, 3, 79, 163, 499, 947, 1279, 5297, 6689, 9629, 10853, 17467, 21001, 23887, 25411, 29761, 32089, 33289, 47947, 49429, 55633, 80687, 84697, 96157, 116719, 119159, 126641, 131783, 136991, 153371, 156227, 167861, 182969, 215249, 243161, 257921, 280897, 288853
OFFSET
1,2
EXAMPLE
79 is a term because 79 is a prime power and 79 = 1 + 2 + 3 + 4 + 5 + 7 + 8 + 9 + 11 + 13 + 16 = 1 + 2 + 3 + 2^2 + 5 + 7 + 2^3 + 3^2 + 11 + 13 + 2^4.
MATHEMATICA
Select[Accumulate[Select[Range[2000], # == 1 || PrimePowerQ[#] &]], # == 1 || PrimePowerQ[#] &]
CROSSREFS
Intersection of A000961 and A024918.
Sequence in context: A069839 A222192 A236069 * A064456 A347165 A073176
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 14 2023
STATUS
approved