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Search: id:A073514
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| A073514 |
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Number of primes less than 10^n with initial digit 4. |
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+0
1
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| 0, 3, 20, 139, 1069, 8747, 74114, 641594, 5661135, 50653546, 458352691, 4185483176, 38510936699, 356622729564, 3320632228693, 31067060521057, 291869049531878, 2752144407792176, 26035873192178041
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Thomas R. Nicely, Some Results of Computational Research in Prime Numbers
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EXAMPLE
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a(2)=3 because there are 3 primes up to 10^2 whose initial digit is 4 (namely 41, 43 and 47).
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MATHEMATICA
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f[n_] := f[n] = PrimePi[5*10^n] - PrimePi[4*10^n] + f[n - 1]; f[0] = 0; Table[ f[n], {n, 0, 13}]
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CROSSREFS
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Cf. A073509 to A073517, their sum is A006880.
Sequence in context: A056298 A114479 A074574 this_sequence A163065 A082143 A009156
Adjacent sequences: A073511 A073512 A073513 this_sequence A073515 A073516 A073517
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KEYWORD
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base,hard,nonn
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AUTHOR
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Shyam Sunder Gupta (guptass(AT)rediffmail.com), Aug 14 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 29 2002
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