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A061235 Number of primes between consecutive fourth powers. +0
2
6, 16, 32, 60, 96, 147, 207, 283, 382, 486, 619, 773, 945, 1139, 1351, 1610, 1870, 2165, 2496, 2848, 3237, 3653, 4125, 4572, 5118, 5698, 6269, 6894, 7586, 8309, 9033, 9907, 10656, 11616, 12522, 13509, 14552, 15639, 16708, 18009, 19140, 20527 (list; graph; listen)
OFFSET

0,1

EXAMPLE

a(3) = 32, as the number of primes between 3^4 = 81 and 4^4 = 256 is 32.

MATHEMATICA

Table[PrimePi[(w+1)^4]-PrimePi[w^4], {w, 1, 100}]

CROSSREFS

Cf. A014085, A060199.

Sequence in context: A134465 A036488 A131949 this_sequence A071857 A099399 A118014

Adjacent sequences: A061232 A061233 A061234 this_sequence A061236 A061237 A061238

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 23 2001

EXTENSIONS

More terms from Labos E. (labos(AT)ana.sote.hu), Jul 10 2001

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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