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A120099 Numbers n such that the closest primes surrounding 10^n are the same distance modulo 100. +0
1
17, 45, 87, 101, 112, 230, 270, 341, 468, 472, 473, 479, 554, 555, 568, 650, 657, 663, 696, 718, 727, 810, 830, 836, 900, 917, 952, 984, 988, 1020, 1021, 1022, 1059, 1140, 1142, 1167, 1200, 1295, 1326, 1400, 1401, 1405, 1406, 1418, 1449, 1499, 1503, 1526 (list; graph; listen)
OFFSET

1,1

COMMENT

17 {3, 3}, 45 {9, 9}, 87 {373, 273}, 101 {3, 203}, 112 {207, 807}, 230 {753, 1053}, 270 {361, 861}, 341 {831, 1331}, 468 {301, 801}, 472 {1569, 2669}, 473 {99, 599}, 479 {109, 209}, 554 {937, 437}, 555 {151, 2151}, 568 {501, 801}, 650 {1999, 899}, 657 {1791, 291}, 663 {6333, 33},

696 {61, 1361}, 718 {5863, 1463}, 727 {273, 1073}, 810 {1591, 2891}, 830 {2853, 1253}, 836 {2809, 1209}, 900 {1873, 773}, 917 {693, 5393}, 952 {4827, 27}, 984 {1867, 2867}, 988 {753, 1053}, 1020 {793, 1193}, 1021 {1609, 6209}, 1022 {853, 1053} 1059 {5793, 1293}, 1140 {357, 4857},

1142 {4329, 5829}, 1167 {1131, 3231}, 1200 {5227, 4127}, 1295 {5169, 2369}, 1326 {907, 4007}, 1400 {13317, 2517}, 1401 {10549, 2249}, 1405 {4329, 629}, 1406 {7477, 10277}, 1418 {841, 8741}, 1449 {2989, 3089}, 1499 {2001, 1901}, 1503 {439, 339}, 1526 {4603, 603}, 1534 {2409, 3209}, ...,.

FORMULA

A033873 (mod 100) == A033874 (mod 100).

MATHEMATICA

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ@k, k++ ]; k]; PrevPrim[n_] := Block[{k = n - 1}, While[ ! PrimeQ@k, k-- ]; k]; Do[ If[ Mod[ NextPrim[10^n], 100] == Mod[10^n - PrevPrim[10^n], 100], Print[{n, a, b}]], {n, 1320}]

CROSSREFS

Cf. A115564, A118798.

Sequence in context: A033703 A140155 A032698 this_sequence A045570 A058205 A034783

Adjacent sequences: A120096 A120097 A120098 this_sequence A120100 A120101 A120102

KEYWORD

base,less,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 08 2006

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jun 09 2006

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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