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A337213
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Primes prime(k) such that prime(k) + 2*prime(k+1) and prime(k) + 2*prime(k+1) + 4*prime(k+2) are prime.
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2
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3, 43, 59, 127, 599, 673, 937, 1451, 1619, 1847, 2089, 2311, 2953, 3343, 3613, 3677, 4817, 4909, 4973, 5519, 5639, 5857, 6359, 6389, 7043, 7069, 7537, 8867, 9157, 9341, 10039, 11069, 12301, 12907, 13327, 13729, 14293, 14549, 15619, 15739, 15877, 17077, 17351, 17977, 18253, 19211, 19387, 19469
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(3)=59 is in the sequence because 59, 61, 67 are consecutive primes and 59+2*61=181 and 59+2*61+4*67=449 are prime.
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MAPLE
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N:= 2000: # to get terms in the first N primes
P:= [seq(ithprime(i), i=1..N+2)]:
P[select(i -> isprime(P[i]+2*P[i+1]) and isprime(P[i]+2*P[i+1]+4*P[i+2]), [$1..N])];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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