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A058020 Difference between lcm(1,..,n) and the smallest prime > lcm(1,...,n) + 1, where n runs over A000961, lcm(n) runs through A051451. 0
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..59.

PROG

(PARI) N=1; for(n=2, 1e3, if(isprimepower(n, &p), N*=p; print1(nextprime(N+2)-N", "))) \\ Charles R Greathouse IV, Nov 18 2015

CROSSREFS

Cf. A000961, A003418, A051451, A057019, A037153, A035346, A005235, A054272, A055211, A037155, A045493, A038710 etc

Sequence in context: A122800 A227950 A063202 * A069201 A272882 A077800

Adjacent sequences:  A058017 A058018 A058019 * A058021 A058022 A058023

KEYWORD

nonn

AUTHOR

Labos Elemer, Nov 14 2000

EXTENSIONS

Name corrected by Charles R Greathouse IV, Nov 18 2015

STATUS

approved

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Last modified April 14 05:22 EDT 2021. Contains 342943 sequences. (Running on oeis4.)