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Search: id:A076430
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| A076430 |
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Sum of squares of numbers that cannot be written as t*p_n + u*p_{n+1} for nonnegative integers t,u, where p_n is the n-th prime. |
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+0
2
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| 1, 70, 1610, 22715, 170170, 675376, 2224824, 5696295, 21057190, 52798270, 111385170, 261955560, 414410780, 628310711, 1187225546, 2369546790, 3631067090, 5339542890, 8459444455, 10969197540, 15154637940, 22349763995
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.
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FORMULA
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p_n*p_{n+1}*(p_n-1)*(p_{n+1}-1)*(p_n*p_{n+1}-p_n-p_{n+1})/12
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MAPLE
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seq(ithprime(n)*ithprime(n+1)*(ithprime(n)-1)*(ithprime(n+1)-1)*(ithprime(n)*ith\ prime(n+1)-ithprime(n)-ithprime(n+1))/12, n=1..30);
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CROSSREFS
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Cf. A076389, A076429.
Sequence in context: A125114 A061606 A107421 this_sequence A006296 A047835 A133312
Adjacent sequences: A076427 A076428 A076429 this_sequence A076431 A076432 A076433
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KEYWORD
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nonn
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AUTHOR
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Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 10 2002
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