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 A153075 Increasing sequence of prime numbers such that the sum of any 3 consecutive terms is a prime and sum of any 5 consecutive terms is a prime also. 2
 3, 5, 11, 13, 29, 31, 43, 83, 97, 113, 127, 149, 157, 173, 191, 193, 223, 311, 373, 467, 487, 499, 557, 607, 647, 653, 673, 677, 739, 787, 821, 829, 881, 883, 977, 991, 1051, 1217, 1291, 1373, 1427, 1429, 1471, 1583, 1597, 1607, 1609, 1693, 1811, 1877, 1951 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 MAPLE A:= 3, 5, 11, 13: for n from 1 to 100 do   s:= A[-1]+A[-2];   t:= s + A[-3]+A[-4];   for x from A[-1]+2 by 2 while not(isprime(x)) or not(isprime(x+s)) or not(isprime(x+t)) do od:   A:= A, x; od: A; # Robert Israel, Mar 09 2017 MATHEMATICA a=3; b=5; c=11; d=13; lst={a, b, c, d}; Do[z=a+b+c+d+n; y=c+d+n; If[PrimeQ[z]&&n>b&&PrimeQ[n]&&PrimeQ[y], AppendTo[lst, n]; a=b; b=c; c=d; d=n], {n, 0, 8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 17 2008 *) CROSSREFS Cf. A153065, A062391. Sequence in context: A045407 A317309 A243897 * A287940 A237349 A095082 Adjacent sequences:  A153072 A153073 A153074 * A153076 A153077 A153078 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Dec 17 2008, corrected Dec 19 2008 STATUS approved

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Last modified July 23 14:44 EDT 2021. Contains 346259 sequences. (Running on oeis4.)