

A100016


a(0) = 1; a(n+1) = a(n) * (next prime larger than a(n)).


2



1, 2, 6, 42, 1806, 3270666, 10697259354222, 114431357691543566765996394, 13094535623129987017538646614449662873664453962869814, 171466863185420237392391564368967506501628543653753176958938044126997508808439363294403869833497610468982
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OFFSET

0,2


COMMENTS

Terms are very close to A007018(n), with equality for the first 5 terms. Indeed, sequence A007018 is defined like the present sequence, with nextprime(a(n)) replaced by a(n)+1.  M. F. Hasler, May 20 2019


LINKS

Table of n, a(n) for n=0..9.


EXAMPLE

If n=1, then the prime immediately greater than n is 2. Hence the next number is n*p = 1*2 = 2.
If n=2, then the next prime is 3, so the next number in the sequence is 2*3=6.
If n=6, then the next prime is 7, so the next number in the sequence is 6*7=42.


MATHEMATICA

a[0] = 1; a[n_] := a[n  1]*NextPrime[a[n  1]]; Table[ a[n], {n, 0, 9}] (* Robert G. Wilson v, Nov 23 2004 *)
NestList[# NextPrime[#]&, 1, 10] (* Harvey P. Dale, Oct 15 2016 *)


PROG

(PARI) (nxt_A100016(n)=n*nextprime(n+1)); A100016_vec=vector(10, i, t=if(i>1, nxt_A100016(t), 1)) \\ M. F. Hasler, May 20 2019


CROSSREFS

Similar to A074839.
Even more similar to A007018.
Sequence in context: A230311 A276416 A007018 * A000610 A023363 A091241
Adjacent sequences: A100013 A100014 A100015 * A100017 A100018 A100019


KEYWORD

nonn


AUTHOR

Parthasarathy Nambi, Nov 18 2004


EXTENSIONS

More terms from Robert G. Wilson v, Nov 23 2004


STATUS

approved



