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 A038710 a(n) is the smallest prime > product of the first n primes (A002110(n)). 7
 2, 3, 7, 31, 211, 2311, 30047, 510529, 9699713, 223092907, 6469693291, 200560490131, 7420738134871, 304250263527281, 13082761331670077, 614889782588491517, 32589158477190044789, 1922760350154212639131, 117288381359406970983379, 7858321551080267055879179 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..350 FORMULA a(n) = A002110(n) + A038711(n). - Alois P. Heinz, Mar 16 2020 EXAMPLE for n=1,2,3,4,5,11,75, A002110(n)+1 gives smaller primes than A002110(n)+p, where p is a fortunate number (prime). At n=5, both 2311 and 2333 are primes but the first is smaller. MAPLE p:= proc(n) option remember; `if`(n<1, 1, p(n-1)*ithprime(n)) end: a:= n-> nextprime(p(n)): seq(a(n), n=0..20);  # Alois P. Heinz, Mar 16 2020 MATHEMATICA nmax = 2^16384; npd = 1; n = 1; npd = npd*Prime[n]; While[npd < nmax, cp = npd + 1; While[ ! (PrimeQ[cp]), cp = cp + 2]; Print[cp]; n = n + 1; npd = npd*Prime[n]] (* Lei Zhou, Feb 15 2005 *) NextPrime/@FoldList[Times, 1, Prime[Range[25]]] (* Harvey P. Dale, Dec 17 2010 *) PROG (PARI) a(n) = nextprime(1+prod(k=1, n, prime(k))); \\ Michel Marcus, Sep 25 2016 CROSSREFS Cf. A002110, A005235, A018239, A035345, A038711. Sequence in context: A081947 A046972 A006862 * A241196 A073918 A096350 Adjacent sequences:  A038707 A038708 A038709 * A038711 A038712 A038713 KEYWORD nonn AUTHOR Labos Elemer, May 02 2000 EXTENSIONS Offset corrected, incorrect comment and formula removed, and more terms added by Jinyuan Wang, Mar 16 2020 STATUS approved

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Last modified June 12 10:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)