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A091098
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Number of primes of the form 4k+1 less than 10^n.
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8
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1, 11, 80, 609, 4783, 39175, 332180, 2880504, 25423491, 227523275, 2059020280, 18803924340, 173032709183, 1602470783672, 14922284735484, 139619168787795, 1311778575685086, 12369977142579584, 117028833597800689, 1110409801150582707
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Deleglise, Marc; Dusart, Pierre; and Roblot, Xavier-Francois; Counting primes in residue classes. Math. Comp. 73 (2004), no. 247, 1565-1575.
Daniel Pareja, Prime Number Races, http://www.math.ubc.ca/~gerg/teaching/613-Winter2011/PrimeNumberRaces.pdf
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LINKS
| Eric Weisstein's World of Mathematics, Modular Prime Counting Function
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MATHEMATICA
| cnt=0; k=0; Table[lim=10^n; While[4k+1<lim, If[ PrimeQ[4k+1], cnt++ ]; k++ ]; cnt, {n, 6}]
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CROSSREFS
| Cf. A091099 (number of primes of the form 4k+3 less than 10^n).
Sequence in context: A026897 A021024 A127021 * A091115 A024146 A156847
Adjacent sequences: A091095 A091096 A091097 * A091099 A091100 A091101
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Dec 19 2003
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EXTENSIONS
| a(10)-a(16) from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 22 2003
a(17)-a(20) from Marc Deleglise (marc.deleglise(AT)math.univ-lyon1.fr), Jun 28 2007
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