This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A143293 Partial sums of A002110, the primorial numbers. 17
 1, 3, 9, 39, 249, 2559, 32589, 543099, 10242789, 233335659, 6703028889, 207263519019, 7628001653829, 311878265181039, 13394639596851069, 628284422185342479, 33217442899375387209, 1955977793053588026279, 119244359152460559009549 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS After 3, this is never prime because all values thereafter are multiples of 3. Starting from a(6) all are also multiples of 17. - Jonathan Vos Post, Feb 10 2010 Starting from a(162) all are also multiples of 967. - Alex Ratushnyak, May 14 2013 Repunits in primorial base, A049345. - Antti Karttunen, Aug 21 2016 LINKS T. D. Noe, Table of n, a(n) for n = 0..100 FORMULA a(n) = Sum__{0..n} prime(n)#, where prime(n)# = A002110(n). a(n) = A276085(A002110(1+n)). - Antti Karttunen, Aug 21 2016 EXAMPLE a(3) = 39 = (1 + 2 + 6 + 30), where A002110 = (1, 2, 6, 30, 210, 2310,...). MATHEMATICA Table[s = 1; Do[s = 1 + s*Prime[i], {i, n, 1, -1}]; s, {n, 0, 20}] (* T. D. Noe, May 03 2013 *) Accumulate[FoldList[Times, 1, Prime[Range[20]]]] (* Harvey P. Dale, Feb 05 2015 *) PROG (PARI) a(n)=if(n==0, return(1)); my(P=1, s=1); forprime(p=2, prime(n), s+=P*=p); s \\ Charles R Greathouse IV, Feb 05 2014 CROSSREFS Cf. A002110, A049345, A276085. Sequence in context: A058105 A090012 A079096 * A101395 A229244 A218504 Adjacent sequences:  A143290 A143291 A143292 * A143294 A143295 A143296 KEYWORD nonn AUTHOR Gary W. Adamson, Aug 05 2008 EXTENSIONS a(11)-a(19) from Jonathan Vos Post, Feb 10 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)