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 A152097 Least k(n) such that 3*2^k(n)*M(n)-1 or 3*2^k(n)*M(n)+1 is prime (or both primes) with M(i)=i-th Mersenne prime. 1
 1, 1, 2, 1, 3, 2, 1, 5, 6, 9, 31, 44, 18, 71, 81, 1097, 64, 789, 42, 17, 908, 722, 1500, 1496, 5690, 6720, 3340, 18768, 9597, 13835 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS These are certified primes using PFGW from Primeform group. LINKS EXAMPLE 3*2^1*(2^2 - 1) - 1 = 17 is prime, as is 19, so k(1)=1 as M(1) = 2^2 - 1; 3*2^1*(2^3 - 1) - 1 = 41 is prime, as is 43, so k(2)=1 as M(2) = 2^3 - 1; 3*2^2*(2^5 - 1) + 1 = 373 is prime, so k(3)=2 as M(3) = 2^5 - 1. PROG (PARI) /* these functions are too slow for n > about 15 */ mersenne(n) = {local(i, m); i=n; m=1; while(i>0, m=m+1; if(isprime(2^m-1), i=i-1)); 2^m-1} A152097(n) = {local(k, m); k=1; m=mersenne(n); while(!(isprime(3*2^k*m-1)||isprime(3*2^k*m+1)), k=k+1); k} \\ Michael B. Porter, Mar 18 2010 CROSSREFS Cf. A145983. Sequence in context: A131345 A134423 A061260 * A119442 A064861 A305299 Adjacent sequences:  A152094 A152095 A152096 * A152098 A152099 A152100 KEYWORD more,nonn AUTHOR Pierre CAMI, Nov 24 2008 STATUS approved

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Last modified July 28 13:43 EDT 2021. Contains 346333 sequences. (Running on oeis4.)