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 A294154 Base-2 logarithm of product of primes between 2^n+1 and 2^(n+1). 0
 1, 1, 5, 7, 22, 39, 84, 173, 367, 716, 1444, 2945, 5823, 11817, 23457, 47117, 94496, 188670, 378296, 755437, 1512435, 3024742, 6049260, 12099777, 24205776, 48402649, 96809896, 193632363, 387252738, 774544273, 1549044943 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Inspired by Bertrand's postulate and complexity of algorithms using Farey fraction sets of size 2^n. The log of this sequence seems linear after a few terms. LINKS Table of n, a(n) for n=0..30. MATHEMATICA Table[Floor[ Log[2, Times @@ Table[Prime[i], {i, PrimePi[2^(n)] + 1, PrimePi[2^(n + 1)]}]]], {n, 0, 20}] CROSSREFS Cf. A036378 (number of primes between 2^n+1 and 2^(n+1). Cf. A293696, A293697 (additive view of the primes between 2^n+1 and 2^(n+1). Sequence in context: A350193 A248086 A076409 * A260658 A028281 A240102 Adjacent sequences: A294151 A294152 A294153 * A294155 A294156 A294157 KEYWORD nonn,more AUTHOR Olivier Gérard, Oct 24 2017 EXTENSIONS a(26)-a(30) from Robert Price, Nov 30 2017 STATUS approved

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Last modified September 16 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)