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Search: id:A124001
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| A124001 |
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Difference between first twin prime>10^n and 10^n. |
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+0
2
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| 2, 1, 1, 19, 7, 151, 37, 139, 37, 7, 277, 817, 61, 1267, 97, 2371, 1549, 19, 619, 97, 391, 409, 649, 5527, 2731, 559, 949, 427, 601, 2797, 1681, 7189, 2449, 6751, 7597, 8419, 16879, 871, 5569, 10327, 16111, 2131, 6121, 23329, 5179, 4249, 2641, 2257, 3997
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Next terms (including probable primes) up to n=100 are: 3397,7687,6637,7381,16597,9091,23599,27319,4711,22249,6517,7579,4051,1777,12949,38119,17887,3319,38671,829,19219,24721,4489,45469,2581,30511,37759,1867,67549,4849,44317,59587,27379,78757,7177,5407,29101,2677,23899,60811,121,46897,42007,127939,45487,6001,35737. In general, a(n)>=A033873(n), and a(n)=A033873(n) for n = 1, 2, 4, 9. Cf. A033873 Difference between first prime>10^n (A003617) and 10^n
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EXAMPLE
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a(0)=2 because 3 and 5 are twin primes and 3-10^0=2,
a(1)=1 because 11 and 13 are twin primes and 11-10^1=1,
a(2)=1 because 101 and 103 are twin primes and 101-10^2=1,
a(3)=19 because 1019 and 1021 are twin primes and 1019-10^3=19, etc.
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CROSSREFS
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Cf. A033873.
Sequence in context: A078089 A095836 A090163 this_sequence A141904 A147802 A093076
Adjacent sequences: A123998 A123999 A124000 this_sequence A124002 A124003 A124004
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Nov 01 2006
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