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A114314 Difference between first odd semiprime > 7^n and 7^n. +0
1
8, 2, 0, 12, 6, 10, 2, 6, 12, 2, 4, 12, 2, 10, 2, 4, 10, 6, 4, 4, 12, 24, 10, 10, 10, 4, 2, 30, 10, 4, 4, 30, 12, 2, 10, 4, 10, 10, 54, 10, 12, 22, 10, 24, 2, 4, 88, 16, 16, 22, 30 (list; graph; listen)
OFFSET

0,1

COMMENT

A098147 is difference between first odd semiprime > 10^n and 10^n.

FORMULA

a(n) = minimum integer k such that 7^n + k is an element of A046315. a(n) = minimum integer k such that A000420(n) + k is an element of A046315.

EXAMPLE

a(0) = 8 because 7^0 + 8 = 9 = 3^2 is an odd semiprime.

a(1) = 2 because 7^1 + 2 = 9 = 3^2 is an odd semiprime.

a(2) = 0 because 7^2 + 0 = 49 = 7^2 is an odd semiprime; there are no more zero values.

a(3) = 12 because 7^3 + 12 = 355 = 5 * 71.

a(4) = 6 because 7^4 + 6 = 2407 = 29 * 83 (brilliant).

a(5) = 10 because 7^5 + 10 = 16817 = 67 * 251.

CROSSREFS

Cf. A000351, A001358, A098147.

Sequence in context: A021850 A011105 A098829 this_sequence A080729 A164800 A011008

Adjacent sequences: A114311 A114312 A114313 this_sequence A114315 A114316 A114317

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Feb 05 2006

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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