A095010 -id:A095010 - cp's OEIS frontend

A095008 Number of 4k+3 primes (A002145) in range ]2^n,2^(n+1)].

1, 1, 1, 3, 3, 7, 13, 22, 37, 71, 128, 231, 440, 807, 1519, 2872, 5371, 10204, 19341, 36759, 70179, 134241, 256856, 492936, 947272, 1822615, 3513691, 6781495, 13103816, 25348667, 49092241, 95168205, 184661253, 358636497, 697094872, 1356052491, 2639893495, 5142817901

Offset: 1

Antti Karttunen and Labos Elemer, Jun 01 2004

Antti Karttunen and John Moyer, C-program for computing the initial terms of this sequence.
Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)].

Cf. A002145, A036378, A095007, A095010, A095012, A095092, A095093.

a(n) = A036378(n) - A095007(n) = A095010(n) + A095012(n) = A095092(n) + A095093(n).

a(34)-a(38) from Amiram Eldar, Jun 12 2024

A095011 Number of 8k+5 primes (A007521) in range ]2^n,2^(n+1)].

Original entry on oeis.org

0, 1, 1, 1, 3, 2, 6, 11, 20, 35, 63, 118, 216, 407, 759, 1424, 2686, 5094, 9652, 18472, 35068, 67068, 128421, 246403, 473647, 911479, 1757076, 3390256, 6552075, 12675294, 24545280, 47583568, 92332958, 179313476, 348551899, 678031524, 1319932086, 2571422341

Offset: 1

Antti Karttunen and Labos Elemer, Jun 01 2004

nonn

Antti Karttunen and John Moyer, C-program for computing the initial terms of this sequence.
Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)].

Cf. A007521, A091128, A095010, A095014.

Module[{nn = 21, s}, s = Select[8 Range[0, 2^nn] + 5, PrimeQ]; Table[Count[s, ?(2^n < # < 2^(n + 1) &)], {n, nn}]] (* _Michael De Vlieger, Jul 23 2017 *)

a(n) = A095014(n) - A095010(n).

a(34)-a(38) from Amiram Eldar, Jun 12 2024

A095014 Number of 8k+-3 primes (A003629) in range [2^n,2^(n+1)].

Original entry on oeis.org

1, 1, 2, 2, 5, 5, 13, 21, 40, 70, 129, 231, 434, 819, 1505, 2884, 5358, 10198, 19303, 36847, 70173, 134233, 256831, 492856, 947182, 1822968, 3513746, 6781112, 13104524, 25348436, 49092129, 95167472, 184663536, 358631365, 697100084, 1356061232, 2639871771, 5142831980

Offset: 1

Antti Karttunen and Labos Elemer, Jun 01 2004

nonn

Antti Karttunen and John Moyer, C-program for computing the initial terms of this sequence.
Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)].

Cf. A003629, A036378, A095010, A095011, A095013.

a(n) = A036378(n) - A095013(n) = A095010(n) + A095011(n).

a(34)-a(38) from Amiram Eldar, Jun 12 2024

cp's OEIS Frontend

A095008 Number of 4k+3 primes (A002145) in range ]2^n,2^(n+1)].

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A095011 Number of 8k+5 primes (A007521) in range ]2^n,2^(n+1)].

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Author

Keywords

Links

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Mathematica

Formula

Extensions

A095014 Number of 8k+-3 primes (A003629) in range [2^n,2^(n+1)].

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Author

Keywords

Links

Crossrefs

Formula

Extensions