A094462 a(n) is the 6th term in Euclid-Mullin (EM) prime sequence initiated with n-th prime.

53, 53, 19, 53, 10627, 7, 3571, 271, 84319, 7, 47059, 7, 47, 53, 23971, 11, 13, 5, 7, 201499, 5, 7, 67, 13, 7, 21211, 5, 29, 10696171, 11, 149, 971, 16896211, 11, 58111, 17, 11, 75307, 25105111, 853, 139, 7, 5, 613, 181, 23, 13, 29, 13, 19, 53, 47, 5, 11, 84811

Offset

1,1

Links

Table of n, a(n) for n=1..55.

Example

First term is p(n), 2nd equals 2;
3rd term is A091460 as largest p-divisor of 2p+1
(occasionally safe primes, A005385);
4th terms listed in A051614; 5th term is in A094461;
6th-7th terms in A094462, A094463;

Mathematica

a[x_]:=First[Flatten [FactorInteger[Apply[Times, Table[a[j], {j, 1, x-1}]]+1]]]; ta=Table[0, {168}]; a[1]=1; Do[{a[1]=Prime[j], el=6}; Print[a[el]; ta[[j]]=a[el]; j++ ], {j, 1, 168}]; ta

Crossrefs

Cf. A000945, A005385, A051614-A051616, A051308-A051335, A093778-A093782, A094152-A094153, A094460-A094463.

Sequence in context: A262908 A109648 A109733 * A232125 A349091 A343794

Adjacent sequences: A094459 A094460 A094461 * A094463 A094464 A094465

Keyword

nonn

Author

Labos Elemer, May 06 2004

Status

approved