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A037028
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Prime closest to e^n.
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5
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2, 3, 7, 19, 53, 149, 401, 1097, 2971, 8101, 22027, 59879, 162751, 442399, 1202603, 3269011, 8886109, 24154957, 65659969, 178482289, 485165237, 1318815713, 3584912833, 9744803443, 26489122147, 72004899319
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internal format)
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OFFSET
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0,1
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LINKS
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MATHEMATICA
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NextPrime[ n_Integer ] := Module[ {k = n + 1}, While[ ! PrimeQ[ k ], k++ ]; Return[ k ] ]; PrevPrime[ n_Integer ] := Module[ {k = n - 1}, While[ ! PrimeQ[ k ], k-- ]; Return[ k ] ]; Do[ a = Round[ N[ E^n ] ]; b = NextPrime[ Round[ N[ E^n ] ] - 1 ]; c = PrevPrime[ Round[ N[ E^n ] ] + 1 ]; If[ b - N[ E^n ] > N[ E^n ] - c, Print[ c ], Print[ b ] ], {n, 0, 25} ]
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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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