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Search: id:A088251
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| 2, 2, 3, 331, 10831, 25411, 512821, 512821, 12960606121, 434491727671, 1893245380951, 71023095613471, 878232256181281
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The 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. 2 2 3 3 5 7 331 661 991 1321 ... Sequence contains the first column.
Conjecture: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.
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EXAMPLE
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The 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)-st term with the first term 1.
2
2 3
3 5 7
331 661 991 1321
...
Sequence contains the first column.
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CROSSREFS
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Cf. A002110, A088250, A088252.
Sequence in context: A027498 A094877 A006560 this_sequence A127528 A063070 A049802
Adjacent sequences: A088248 A088249 A088250 this_sequence A088252 A088253 A088254
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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 Don Reble (djr(AT)nk.ca) and Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Feb 17 2004
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