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A330468
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Numbers k where the difference (least prime > 10^k) - (greatest prime < 10^k) sets a record.
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0
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1, 3, 4, 9, 16, 21, 24, 28, 34, 66, 82, 92, 117, 122, 135, 218, 232, 314, 387, 443, 478, 617, 652, 787, 1031, 1157, 1440, 1625, 1872, 1920, 2038, 2424, 2692, 3235, 3331, 3798, 4944, 5202, 5241, 5938, 7572, 7847
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(1) = 1: 11 - 7 = 4;
a(2) = 3: 1009 - 997 = 12, whereas 101 - 97 = 4 <= a(1).
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PROG
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(PARI) d=0; for(k=1, 500, my(t=10^k, dd=nextprime(t)-precprime(t)); if(dd>d, print1(k, ", "); d=dd))
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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