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 A073670 a(1) = 1, a(n) = the smallest composite multiple of n not included earlier such that every partial sum is prime. 1
 1, 4, 6, 8, 10, 12, 42, 24, 72, 20, 132, 36, 52, 14, 30, 16, 68, 54, 76, 80, 126, 88, 92, 168, 150, 78, 108, 280, 290, 210, 310, 32, 198, 136, 140, 144, 222, 114, 234, 40, 410, 294, 172, 176, 90, 138, 282, 48, 784, 50, 510, 156, 424, 378, 440, 672, 342, 58, 590, 180, 366, 124, 252, 320 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS First 23 terms are the same as in A073669; a(24) = 168 = 7*24 while A073669(24) = 24 = A073669(8). - Zak Seidov, Apr 24 2015 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 PROG (PARI) earlier(v, n, k)=for(i=1, n-1, if(v[i]==k, return(k))); 0 list(lim)=my(v=vector(lim\1), s, k); s=v[1]=1; for(n=2, #v, k=n; while(isprime(k) || !isprime(s+k) || earlier(v, n, k), k+=n); s+=k; v[n]=k); v \\ Charles R Greathouse IV, Apr 24 2015 CROSSREFS Cf. A073669. Sequence in context: A181055 A225506 A073669 * A090169 A190330 A186291 Adjacent sequences: A073667 A073668 A073669 * A073671 A073672 A073673 KEYWORD nonn AUTHOR Amarnath Murthy, Aug 11 2002 EXTENSIONS More terms from Sascha Kurz, Feb 01 2003 Data corrected by Zak Seidov, Apr 24 2015 More terms from Charles R Greathouse IV, Apr 24 2015 STATUS approved

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Last modified October 4 15:07 EDT 2023. Contains 365885 sequences. (Running on oeis4.)