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Search: id:A088252
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| A088252 |
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n-th row of the following triangle contains smallest set of n primes which form n successive terms of an arithmetic progression from the 2nd to (n+1)th term with the first term 1. Sequence contains the leading diagonal. |
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3
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| 2, 3, 7, 1321, 54151, 152461, 3589741, 4102561, 116645455081, 4344917276701, 20825699190451, 852277147361641, 11417019330356641
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Conjectures: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.
A088252(n)=n*A088250(n)+1=n*A088251(n)-n+1. - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Feb 21 2004
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EXAMPLE
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2
2 3
3 5 7
331 661 991 1321
...
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CROSSREFS
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Cf. A002110, A088250, A088251.
Sequence in context: A046284 A069503 A077524 this_sequence A048979 A088332 A131959
Adjacent sequences: A088249 A088250 A088251 this_sequence A088253 A088254 A088255
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 26 2003
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EXTENSIONS
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More terms from Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Feb 21 2004
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