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A074326
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Numbers n such that difference between (1+2^n)-th and (2^n)-th primes is 2.
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1
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OFFSET
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1,2
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LINKS
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FORMULA
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EXAMPLE
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n=39: 2^39=549755813888, prime(549755813889) = 16149760533343, prime(549755813888) = 16149760533341, difference=2, just twin primes.
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MATHEMATICA
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s=0; Do[s=Prime[1+2^n]-Prime[2^n]; If[s==2, Print[{n, Prime[2^n]}]], {n, 1, 40}]
diffQ[n_]:=Module[{prn=Prime[2^n]}, NextPrime[prn]-prn==2]; Select[ Range[ 40], diffQ] (* Harvey P. Dale, Aug 21 2014 *)
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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