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 A203619 Numbers that are a sum of m=3 successive primes and also a product of m=3 (other) successive primes. 7
 33263, 7566179, 10681031, 29884301, 51881689, 94593973, 182918137, 187466723, 319512181, 682238471, 799964687, 3926804047, 4047409651, 4881262679, 11857438631, 13418999327, 19184166361, 20428396159, 20743879777, 32573603551, 34148299187, 56372241473, 72215998451 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Indices of initial addends (summands) are 1343, 184557, 254101, 662222, 1108908, 1946623, 3616497, 3700883, 6114024, 12508273, 14539139, 65654476, 67568267, 80729196. Initial addends (summands) are 11083, 2522057, 3560329, 9961421, 17293891, 31531301, 60972697, 62488883, 106504039, 227412803, 266654879, 1308934661, 1349136511, 1627087549. Indices of initial factors are 10, 44, 47, 63, 73, 87, 103, 104, 123, 151, 157, 248, 250, 264. Initial factors are 29, 193, 211, 307, 367, 449, 563, 569, 677, 877, 919, 1571, 1583, 1693. LINKS Zak Seidov and Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE 33263 = 11083+11087+11093 = 29*31*37, 7566179 = 2522057+2522059+2522063 = 193*197*199, 10681031 = 3560329+3560339+3560363 = 211*223*227, 4881262679 = 1627087549+1627087559+1627087571 = 1693*1697*1699. PROG (PARI) list(lim)={     my(v=List(), p, q, p1, q1, r1, t);     t=nextprime(lim^(1/3));     while(t*precprime(t-1)*precprime(precprime(t-1)-1)t, r1=q1; q1=p1; p1=precprime(p1-1));         if(p1+q1+r1==t, listput(v, t));         p=q; q=r     );     Vec(v) }; \\ Charles R Greathouse IV, Feb 13 2012 CROSSREFS Intersection of A034961 and A046301. Cf. A034961 (sums of three consecutive primes), A046301 (product of 3 successive primes). Sequence in context: A332200 A031660 A252291 * A170798 A043628 A205410 Adjacent sequences:  A203616 A203617 A203618 * A203620 A203621 A203622 KEYWORD nonn AUTHOR Zak Seidov, Feb 09 2012 STATUS approved

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Last modified May 28 12:48 EDT 2022. Contains 354115 sequences. (Running on oeis4.)