A095062 -id:A095062 - cp's OEIS frontend

A095007 Number of 4k+1 primes (A002144) in range ]2^n,2^(n+1)].

0, 1, 1, 2, 4, 6, 10, 21, 38, 66, 127, 233, 432, 805, 1511, 2837, 5378, 10186, 19294, 36827, 70157, 133975, 256852, 492882, 946848, 1823129, 3513599, 6780412, 13103462, 25348870, 49090415, 95167380, 184662052, 358630671, 697097364, 1356051342, 2639870329, 5142823877

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. A002144, A036378, A095008, A095009, A095011.

a(n) = A036378(n) - A095008(n) = A095009(n) + A095011(n).

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

A095009 Number of 8k+1 primes (A007519) in range ]2^n,2^(n+1)].

Original entry on oeis.org

0, 0, 0, 1, 1, 4, 4, 10, 18, 31, 64, 115, 216, 398, 752, 1413, 2692, 5092, 9642, 18355, 35089, 66907, 128431, 246479, 473201, 911650, 1756523, 3390156, 6551387, 12673576, 24545135, 47583812, 92329094, 179317195, 348545465, 678019818, 1319938243, 2571401536

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. A007519, A091126, A095007, A095011, A095012, A095013.

a(n) = A095013(n) - A095012(n) = A095007(n) - A095011(n).

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

A095010 Number of 8k+3 primes (A007520) in range [2^n,2^(n+1)].

Original entry on oeis.org

1, 0, 1, 1, 2, 3, 7, 10, 20, 35, 66, 113, 218, 412, 746, 1460, 2672, 5104, 9651, 18375, 35105, 67165, 128410, 246453, 473535, 911489, 1756670, 3390856, 6552449, 12673142, 24546849, 47583904, 92330578, 179317889, 348548185, 678029708, 1319939685, 2571409639

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. A007520, A091127, A095008, A095011, A095012, A095014.

a(n) = A095014(n) - A095011(n) = A095008(n) - A095012(n).

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

A095016 Number of 6k+5 primes (A007528) in range [2^n,2^(n+1)].

Original entry on oeis.org

0, 1, 1, 3, 4, 6, 12, 23, 38, 68, 129, 236, 438, 806, 1516, 2864, 5388, 10178, 19327, 36839, 70201, 134151, 256884, 492947, 947240, 1822831, 3513553, 6781479, 13103713, 25349311, 49091941, 95168089, 184662764, 358633903, 697097374, 1356055862, 2639879029, 5142830496

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. A007528, A036378, A095015.

a(n) = A036378(n) - A095015(n) for n >= 2.

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

A095054 Number of primes with number of 0-bits <= number of 1-bits (A095074) in range ]2^n,2^(n+1)].

Original entry on oeis.org

1, 2, 2, 4, 7, 10, 20, 32, 65, 97, 203, 334, 718, 1130, 2381, 3953, 8266, 13911, 28995, 49564, 105524, 178910, 376969, 650703, 1383287, 2380394, 5044969, 8780393, 18699214, 32618497, 69349061, 121625616, 259051224, 455265038, 968649497, 1711760073, 3647018733, 6457387921, 13745846521, 24430016732

Offset: 1

Antti Karttunen, 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. A095018, A095020, A095074.

a(n) = A095020(n) + (if n is odd) A095018((n+1)/2).

a(34)-a(40) from Amiram Eldar, Jun 13 2024

A095055 Number of primes with number of 1-bits <= number of 0-bits (A095075) in range ]2^n,2^(n+1)].

Original entry on oeis.org

0, 0, 0, 1, 2, 3, 7, 11, 27, 40, 80, 130, 343, 482, 1180, 1756, 4473, 6479, 15387, 24022, 58714, 89306, 213397, 335115, 802311, 1265350, 2965114, 4781514, 11185644, 18079040, 42048314, 68709969, 159433693, 262002130, 602733406, 1000343760, 2297551889, 3828253857, 8748722270, 14683465908

Offset: 1

Antti Karttunen, 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. A095018, A095019, A095075.

a(n) = A095019(n) + (if n is odd) A095018((n+1)/2).

a(34)-a(40) from Amiram Eldar, Jun 13 2024

A095063 Number of fibodious primes (A095083) in range [2^n,2^(n+1)].

Original entry on oeis.org

1, 1, 1, 3, 4, 7, 14, 22, 41, 70, 133, 261, 433, 800, 1468, 2883, 5445, 10033, 19388, 36902, 70168, 134005, 256771, 493088, 947153, 1822376, 3514806, 6780667, 13103439, 25351723, 49085715, 95166843, 184656849, 358622060, 697126872

Offset: 1

Antti Karttunen, 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. A036378, A095064, A095083.

a(n) = A036378(n) - A095064(n).

a(34)-a(35) from Amiram Eldar, Jun 13 2024

A095064 Number of fibevil primes (A095084) in range ]2^n,2^(n+1)].

Original entry on oeis.org

0, 1, 1, 2, 3, 6, 9, 21, 34, 67, 122, 203, 439, 812, 1562, 2826, 5304, 10357, 19247, 36684, 70168, 134211, 256937, 492730, 946967, 1823368, 3512484, 6781240, 13103839, 25345814, 49096941, 95168742, 184666456, 358645108, 697065364

Offset: 1

Antti Karttunen, 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. A036378, A095063, A095084.

a(n) = A036378(n) - A095063(n).

a(34)-a(35) from Amiram Eldar, Jun 13 2024

A095068 Number of fib100 primes (A095088) in range ]2^n,2^(n+1)].

Original entry on oeis.org

1, 0, 1, 0, 1, 3, 3, 8, 8, 22, 37, 69, 125, 238, 449, 831, 1545, 3004, 5597, 10760, 20524, 39321, 74899, 143666, 276562, 533106, 1025445, 1979842, 3824893, 7394481, 14325045, 27772689, 53894448, 104645081, 203424705

Offset: 1

Antti Karttunen, 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. A095062, A095065, A095088.

a(n) = A095062(n) - A095065(n).

a(34)-a(35) from Amiram Eldar, Jun 13 2024

A095069 Number of fib101 primes (A095089) in range ]2^n,2^(n+1)].

Original entry on oeis.org

0, 0, 0, 1, 1, 3, 1, 9, 10, 20, 42, 64, 126, 251, 440, 828, 1560, 2967, 5656, 10769, 20419, 39327, 74826, 143516, 276217, 531587, 1025104, 1977596, 3821827, 7396083, 14326142, 27774012, 53875302, 104653661, 203380716

Offset: 1

Antti Karttunen, 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. A095061, A095066, A095089.

a(n) = A095061(n) - A095066(n).

a(34)-a(35) from Amiram Eldar, Jun 13 2024

cp's OEIS Frontend

A095007 Number of 4k+1 primes (A002144) in range ]2^n,2^(n+1)].

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A095009 Number of 8k+1 primes (A007519) in range ]2^n,2^(n+1)].

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A095010 Number of 8k+3 primes (A007520) in range [2^n,2^(n+1)].

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A095016 Number of 6k+5 primes (A007528) in range [2^n,2^(n+1)].

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Author

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Formula

Extensions

A095054 Number of primes with number of 0-bits <= number of 1-bits (A095074) in range ]2^n,2^(n+1)].

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Crossrefs

Formula

Extensions

A095055 Number of primes with number of 1-bits <= number of 0-bits (A095075) in range ]2^n,2^(n+1)].

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Author

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Links

Crossrefs

Formula

Extensions

A095063 Number of fibodious primes (A095083) in range [2^n,2^(n+1)].

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Formula

Extensions

A095064 Number of fibevil primes (A095084) in range ]2^n,2^(n+1)].

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Formula

Extensions

A095068 Number of fib100 primes (A095088) in range ]2^n,2^(n+1)].

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Author

Keywords

Links

Crossrefs

Formula

Extensions

A095069 Number of fib101 primes (A095089) in range ]2^n,2^(n+1)].

Views

Author

Keywords

Links

Crossrefs

Formula