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A152075
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a(n) = the smallest prime p > prime(n) such that p - prime(n) is squarefree, where prime(n) is the n-th prime.
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3
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3, 5, 7, 13, 13, 19, 19, 29, 29, 31, 37, 43, 43, 53, 53, 59, 61, 67, 73, 73, 79, 89, 89, 103, 103, 103, 109, 109, 131, 127, 137, 137, 139, 149, 151, 157, 163, 173, 173, 179, 181, 191, 193, 199, 199, 229, 233, 229, 229, 239, 239, 241, 251, 257, 263, 269, 271, 277
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OFFSET
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1,1
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COMMENTS
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Indices for which a(n)<a(n-1) are 30, 48, 66, 80, 95, 100, 125, 127, 132, 137, 150, 157, 159, 193,... - M. F. Hasler, Nov 23 2008
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LINKS
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MATHEMATICA
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nxtp[n_]:=NestWhile[NextPrime[#]&, n, !SquareFreeQ[#-n]&]; nxtp/@Prime[Range[60]] (* Harvey P. Dale, Apr 23 2011 *)
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PROG
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(PARI) A152075(n)=local( p=prime(n), q=p); until( issquarefree(q-p), q=nextprime(q+1)); q \\ M. F. Hasler, Nov 23 2008
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CROSSREFS
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KEYWORD
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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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