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A341338
a(n) is the smallest prime that is simultaneously the sum of 2n-1, 2n+1 and 2n+3 consecutive primes.
0
83, 311, 55813, 437357, 1219789, 8472193, 9496853, 6484103, 2166953, 37296143, 12671599, 13432571, 14968909, 145616561, 732092831, 220872569, 1381099933, 93482633, 4142423, 87030017, 3193060007, 736535783, 6390999871, 280886077, 464341303, 268231657, 686836817, 9000046663
OFFSET
1,1
EXAMPLE
For n = 1: 83 = 23 + 29 + 31 = 11 + 13 + 17 + 19 + 23, and 83 is the smallest prime that is the sum of 1, 3 and 5 consecutive primes, so a(1) = 83.
MATHEMATICA
Array[(k=1;
While[(i=Select[Intersection@@((Total/@Subsequences[Prime@Range@Prime[k++], {#}])&/@{2#-1, 2#+1, 2#+3}), PrimeQ])=={}]; First@i)&, 4] (* Giorgos Kalogeropoulos, Apr 26 2021 *)
KEYWORD
nonn
AUTHOR
Zak Seidov, Apr 25 2021
STATUS
approved