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Search: id:A114370
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| A114370 |
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Sum of numbers from prime p to nextprime(p)-1 is a repdigit. |
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+0
1
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| 2, 3, 5, 53, 55555553, 55555555555555555555555553, 2777777777777777777777777777777777777
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The sequence is build under the (reasonable) assumption that 100+2*Log(p)^2 is an upper bound to the largest gap between a prime p and nextprime(p). Under this assumption there are no other terms with less than 100 digits.
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EXAMPLE
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nextprime(55555555555555555555555553) is 55555555555555555555555559 and the sum
from 55555555555555555555555553 to 55555555555555555555555558 gives the repdigit 333333333333333333333333333.
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CROSSREFS
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Cf. A010785, A054268.
Sequence in context: A056720 A100850 A060085 this_sequence A114725 A136340 A029961
Adjacent sequences: A114367 A114368 A114369 this_sequence A114371 A114372 A114373
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KEYWORD
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base,nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 09 2006
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