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URL: https://oeis.org/A288142

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A288142
Numbers k such that starting with prime(k) 3, 5, 7, 9, and 11 consecutive primes sum up to prime numbers.
1
650, 2442, 6184, 7167, 10900, 15227, 23783, 28542, 45577, 48809, 61299, 67297, 78600, 82376, 90603, 95444, 108370, 117732, 127546, 157694, 171110, 171425, 189077, 191090, 191430, 217632, 227759, 234843, 251174, 276173, 279391, 284207, 287638, 300943, 312041
OFFSET
1,1
COMMENTS
Also, numbers 6184 and 95444 are such that the sum (prime(k)+ ... + prime(k+12)) is a prime.
LINKS
MAPLE
P:= select(isprime, [seq(i, i=3..10^7, 2)]):
M:= Matrix(11, nops(P));
nP:= nops(P);
M[1, ..]:= Vector[row](P):
for i from 2 to 11 do
M[i, 1..nP+1-i]:= M[i-1, 1..nP+1-i] + M[1, i..nP]
od:
S:= select(t -> isprime(M[3, t]) and isprime(M[5, t]) and isprime(M[7, t])
and isprime(M[9, t]) and isprime(M[11, t]), [$1..nP-11]):
map(`+`, S, 1); # Robert Israel, Jun 05 2017
CROSSREFS
Sequence in context: A252538 A185666 A114047 * A157915 A158639 A162025
KEYWORD
nonn
AUTHOR
Zak Seidov, Jun 05 2017
EXTENSIONS
More terms from Robert Israel, Jun 05 2017
STATUS
approved