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A105173 Numbers n such that either n*(n+1)/4 + 1 or n*(n+1)/4 - 1 or both are primes. +0
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3, 7, 8, 15, 16, 23, 24, 32, 39, 40, 47, 48, 55, 56, 63, 64, 71, 79, 80, 87, 95, 103, 104, 111, 112, 119, 120, 128, 135, 136, 143, 151, 152, 159, 167, 175, 176, 183, 199, 208, 216 (list; graph; listen)
OFFSET

1,1

COMMENT

The primes are = (sum of numbers from 1 to n)/2 + or - 1

EXAMPLE

3*4/4=3 3-1=2 prime so a(1)=3

7*8/4=14 14-1=13 prime so a(2)=7

8*9/4=18 18-1=17 prime 18+1=19 prime so a(3)=8

CROSSREFS

Sequence in context: A002381 A131559 A051211 this_sequence A076683 A045542 A031404

Adjacent sequences: A105170 A105171 A105172 this_sequence A105174 A105175 A105176

KEYWORD

nonn

AUTHOR

Pierre CAMI (pierrecami(AT)tele2.fr), Apr 11 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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