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Search: id:A106155
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| A106155 |
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Numbers n>2 such that p(n)# + (p(n+1))^2 or p(n+1)# - (p(n+2))^2 is prime or both are primes. |
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+0
1
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| 3, 4, 5, 6, 7, 10, 12, 13, 19, 26, 28, 41, 66, 73, 76, 78, 85, 371, 437, 513, 661, 726, 924, 1063, 1331, 1380, 1422, 1602, 1947, 1963
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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2*3*5 + 7*7 = 79 prime as 2*3*5*7 - 11*11 = 89 prime so a(1)=3
2*3*5*7 + 11*11 = 331 prime as 2*3*5*7*11 -13*13 = 2141 prime so a(2)=4
2*3*5*7*11 + 13*13 = 2479 = 37*67 composite
2*3*5*7*11*13 - 17*17 = 29471 prime so a(3)=5
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CROSSREFS
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Sequence in context: A112874 A159973 A158008 this_sequence A087190 A085038 A163078
Adjacent sequences: A106152 A106153 A106154 this_sequence A106156 A106157 A106158
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KEYWORD
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more,nonn
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AUTHOR
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Pierre CAMI (pierrecami(AT)tele2.fr), May 08 2005
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EXTENSIONS
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a(20)-a(30) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 27 2008
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