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Search: id:A058020
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| A058020 |
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Difference between LCM[1,..,x] and smallest prime >= LCM[1,...,x] +1, where x runs over A000961, LCM(x) runs through A051451. |
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+0
1
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| 3, 5, 5, 7, 11, 13, 11, 13, 31, 23, 19, 37, 41, 29, 31, 43, 53, 41, 53, 79, 59, 97, 59, 61, 113, 97, 179, 73, 73, 97, 103, 101, 109, 101, 229, 109, 139, 113, 227, 131, 191, 163, 139, 199, 151, 139, 181, 223, 229, 367, 239, 499, 251, 509, 251, 227, 373, 281, 233
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Analogous to Fortunate numbers and like them so far proved to be primes. This holds for x<=421: if Q is the first follower prime, then Q(421)-LCM[1,...421]=557. For first some cases when 1+LCM is also a prime, the 2nd primes give 3,5,5,7,11,11,.. deviations, i.e. give primes.
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CROSSREFS
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Cf. A000961, A003418, A051451, A057019, A037153, A035346, A005235, A054272, A055211, A037155, A045493, A038710 etc
Sequence in context: A088743 A122800 A063202 this_sequence A069201 A077800 A118409
Adjacent sequences: A058017 A058018 A058019 this_sequence A058021 A058022 A058023
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 14 2000
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