The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A071195 Final prime in sequence of primes starting with prime(n) and having prime sum (see A071194), or -1 if no such sequence exists. 5
 3, 29, 11, 13, 17, 29, 23, 29, 31, 37, 41, 71, 47, 61, 73, 61, 73, 71, 73, 79, 97, 89, 97, 113, 127, 107, 137, 131, 127, 139, 149, 173, 157, 151, 157, 173, 167, 173, 227, 223, 197, 293, 211, 239, 211, 251, 227, 239, 563, 239, 269, 397, 283, 409, 283, 281, 283 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The length of the sequence is given in A071194. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE n=2: p(2)=3, 3+7+11+13+17+19+23+29 = 127 is the shortest partial sum with initial prime 3; it ends with p(10) = 29 = a(2); n=6: p(6)=13, 13+17+19+23+29 = 101, so the end-prime = a(6) = 29. MATHEMATICA Prime@ Table[k = 1; While[! PrimeQ@ Total@ Prime@ Range[n, n + k], k++]; n + k, {n, 57}] (* Michael De Vlieger, Mar 25 2017 *) PROG (PARI) a(n, p=prime(n))=my(q=p); while(!isprime(p+=q=nextprime(q+1)), ); q apply(p->a(0, p), primes(30)) \\ Charles R Greathouse IV, Jun 16 2015 CROSSREFS Cf. A071194, A071196, A071197, A071198. Sequence in context: A096621 A362466 A143234 * A292625 A030274 A249518 Adjacent sequences: A071192 A071193 A071194 * A071196 A071197 A071198 KEYWORD nonn AUTHOR Labos Elemer, May 16 2002 EXTENSIONS Edited and escape clause added by N. J. A. Sloane, Nov 17 2020 STATUS approved

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

Last modified May 27 15:51 EDT 2024. Contains 372880 sequences. (Running on oeis4.)