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A158695
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Table T(n,3) read by rows with T(n,1)=a,T(n,2)=b,T(n,3)=c and ((a*M(n))^3)*((a*M(n))^3+b)+c is prime for the least a with least b and c = -1 or 1 and M(n) = n-th Mersenne prime
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1, -1, -1, 1, 1, -1, 1, -1, -1, 3, -1, 1, 10, 1, -1, 2, 1, -1, 8, -1, -1, 15, 1, 1, 4, 1, -1, 90, 1, 1, 72, 1, -1, 33, 1, -1, 114, 1, -1, 15, 1, 1, 37, -1, -1, 516, 1, 1, 301, 1, -1, 2029, -1, -1, 54, 1, -1, 23, -1, -1, 4756, -1, -1, 65, 1, 1, 696, 1, -1, 8503, -1, -1, 3693, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,10
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COMMENTS
| All primes certified
For M(26),a(26)=4166,b(26)=1,c(26)=1
For M(27),a(27)=5880,b(27)=-1,c(27)=-1
The prime ((3997*(2^86243-1))^3)*((3997*(2^86243-1))^3-1)-1 is a certified prime with
(2^86243-1) is M(28),a(28)=3997,b(28)=-1,c(28)=-1
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EXAMPLE
| ((1*(2^2-1))^3)*((1*(2^2-1))^3-1)-1=701 prime 2^2-1=M(1) a(1)=1 b(1)=-1 c(1)=-1
((1*(2^3-1))^3)*((1*(2^3-1))^3+1)-1=117991 prime 2^3-1=M(2) a(2)=1 b(2)=1 c(2)=-1
((1*(2^5-1))^3)*((1*(2^5-1))^3-1)-1=887473889 prime 2^5-1=M(3) a(3)=1 b(3)=-1 c(3)=-1
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CROSSREFS
| Sequence in context: A118180 A176482 A045912 * A106268 A060543 A185996
Adjacent sequences: A158692 A158693 A158694 * A158696 A158697 A158698
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KEYWORD
| sign
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AUTHOR
| Pierre CAMI (pierre-cami(AT)bbox.fr), Mar 24 2009
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