A079098 Conjectured values of greatest k such that for any consecutive primes q, q', k <= q < q', sqrt(q')-sqrt(q) < 1/n.

1, 113, 1327, 2971, 31397, 34061, 43331, 44293, 58831, 155921, 370261

Offset

1,2

Comments

Inspired by Andrica's conjecture.

Cf. A038458, A074976, A078693

References

R. K. Guy, "Unsolved Problems in Number Theory", Springer-Verlag 1994, A8, p. 21

Links

Table of n, a(n) for n=1..11.

Eric Weisstein's World of Mathematics, Andrica's conjecture

Crossrefs

Sequence in context: A365592 A300921 A075030 * A187519 A301529 A008362

Adjacent sequences: A079095 A079096 A079097 * A079099 A079100 A079101

Keyword

nonn,more

Author

Rainer Rosenthal, Feb 02 2003

Status

approved