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A364797
Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.
2
2, 5, 9, 29, 49, 137, 281, 359, 449, 1579, 2029, 2281, 2677, 5519, 12527, 13229, 15451, 17047, 22409, 24389, 25931, 29191, 32687, 42937, 45757, 53239, 56443, 59743, 70201, 81677, 90863, 95087, 101627, 113111, 169343, 200407, 206911, 256049, 302977, 330133, 338707, 356263
OFFSET
1,1
EXAMPLE
49 is a term because 49 is a prime power and 49 = 2 + 3 + 4 + 5 + 7 + 8 + 9 + 11.
MATHEMATICA
Select[Accumulate[Select[Range[2250], PrimePowerQ]], PrimePowerQ]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 08 2023
STATUS
approved