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)<lim, t=nextprime(t+1));
p=2; q=3;
forprime(r=5, precprime(t-1),
t=p*q*r;
q1=nextprime(t\3);
p1=precprime(q1-1);
r1=nextprime(q1+1);
while(p1+q1+r1<t, p1=q1; q1=r1; r1=nextprime(r1+1));
while(p1+q1+r1>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
KEYWORD
nonn
AUTHOR
Zak Seidov, Feb 09 2012
STATUS
approved