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A089133 Primes made up by making 5 Bonacci A001591 matrix always odd. +0
1
3, 5, 17, 31, 61, 3040049, 5976577, 585029621921, 7536799430533853, 15114377875501666690812160076212633379799041, 4625477479238789293261951042221574153801685983374041180119163207681 (list; graph; listen)
OFFSET

1,1

COMMENT

These primes are nearly like the 2^n-1 primes.

FORMULA

a(n) = If [ Mod[A001591[n], 1]=1 then A001591[n] else A001591[n]+1 If PrimeQ[a[n]]==True then a[n]

MATHEMATICA

Clear[m] NSolve[x^5-x^4-x^3-x^2-x-1==0, x] k=1.96594823664548545 q=k^2-k-1/k-1/k^2-1/k^3 m0={{0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, {1, 1, 1, 1, q}} m[n_]=MatrixPower[m0, n]; a=Table[If[Mod[Floor[Re[m[n][[5, 5]]]], 2]==1, Floor[Re[m[n][[5, 5]]]], Floor[Re[m[n][[5, 5]]]]+1], {n, 1, digits}]; b=Table[If[PrimeQ[a[[n]]]==True, a[[n]], 0], {n, 1, digits}] c=Delete[Union[b], 1]

CROSSREFS

Cf. A001591.

Sequence in context: A113169 A079496 A038898 this_sequence A103149 A007802 A056816

Adjacent sequences: A089130 A089131 A089132 this_sequence A089134 A089135 A089136

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 05 2003

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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