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A305546
Primes that are sums of three, five, seven and eleven consecutive primes.
1
311, 67141, 125963951, 161888809, 201388259, 559069591, 669472577, 917135831, 951993491, 974896207, 1103919101, 1128722657, 1426246369, 1691534683, 1977185207, 2455167607, 2472527851, 2558204381, 2583232213, 2643398713, 2708464399, 2815245317, 2868455287
OFFSET
1,1
COMMENTS
Intersection of A127340 and A213814.
E.g., a(1) = 311 = A127340(3) = A213814(1).
LINKS
Harvey P. Dale, Table of n, a(n) for n = 1..36 (* All terms from using the first 100 million primes. *)
MATHEMATICA
Module[{nn=10^8, prs, p3, p5, p7, p11}, prs=Prime[Range[nn]]; p3=Select[ Total/@ Partition[ prs, 3, 1], PrimeQ]; p5=Select[Total/@Partition[prs, 5, 1], PrimeQ]; p7=Select[ Total/@Partition[prs, 7, 1], PrimeQ]; p11=Select[Total/@Partition[prs, 11, 1], PrimeQ]; Intersection[ p3, p5, p7, p11]] (* Harvey P. Dale, Sep 05 2022 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Jun 04 2018
EXTENSIONS
a(7)-a(23) from Giovanni Resta, Jun 07 2018
STATUS
approved