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Search: id:A093484
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| A093484 |
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Beginning with 2, a(n+1) is obtained as the least prime of the form a(n)*(m)*(m+1)*(m+2)...(m+k) +1 where a(n) was obtained as the least prime of the form a(n-1)*(r)*(r+1)*(r+2)...(m-1) +1 and so on. |
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+0
1
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| 2, 5, 61, 1831, 1218127681, 20911135539110754710115844300800001, 205118220637830114524967273372102004176647676497164400621440204800001, 6306868169346727750558231922137388394069771110701510995102537435289737085359877256031030165504001
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Product [{a(k)-1}/{a(k-1)}]= 2*3*4*5*... for k = 2,3,4,... {(5-1)/2}*{(61-1)/5}*{(1831-1)/61}*... = {2}*{3*4}*{5*6}*....
Some of the larger entries may only correspond to probable primes.
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EXAMPLE
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a(2)= 2*2 +1=5, a(3) = 5*(3*4) +1 = 61, a(4) = 61*(5*6) +1 = 1831.
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CROSSREFS
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Sequence in context: A030244 A004150 A062642 this_sequence A041069 A134590 A012978
Adjacent sequences: A093481 A093482 A093483 this_sequence A093485 A093486 A093487
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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), Apr 14 2004
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Jul 24 2006
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