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A196130 The difference prime(i)+prime(i+1)+...+prime(i+n-1)-A002110(n), where prime(i) is the smallest prime such that the value is nonnegative. 2
0, 2, 1, 10, 17, 6, 1, 18, 209, 62, 255, 288, 9, 510, 341, 132, 95, 564, 737, 734, 1243, 1222, 427, 1022, 425, 1630, 649, 1836, 311, 2582, 571, 2816, 3083, 2768, 1221, 4142, 1835, 994, 3695, 1338, 1337, 1576, 885, 3522, 2221, 1222, 4897, 5340, 3641, 1988, 8791, 5410, 843, 10658, 5083, 2082 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It is an open problem whether there is n>1 (necessarily even) such that a(n)=0.

If A196129(n)=0, then also a(n)=0 and the prime p[i] is given by A196128(n); else it is the next larger prime.

LINKS

Table of n, a(n) for n=1..56.

J. M. Bergot, C. Rivera (Ed.), Problem 56.  p1*p2*...*pk = q1+q2+...+qk, on primepuzzle.net.

PROG

(PARI) A196130(k)={ my( P=A002110(k), p=precprime(P\k), q=p, S=p);

for(n=1, k, S+=if(S*k>P*n, p=precprime(p-1), q=nextprime(q+1))); if(S-q-P, S-p-P)}

CROSSREFS

Cf. A196128, A196129.

Sequence in context: A151363 A213303 A213304 * A177439 A290597 A136205

Adjacent sequences:  A196127 A196128 A196129 * A196131 A196132 A196133

KEYWORD

nonn

AUTHOR

M. F. Hasler, Sep 28 2011

STATUS

approved

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Last modified April 15 06:12 EDT 2021. Contains 342975 sequences. (Running on oeis4.)