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, 370261, 492113, 492113, 492113, 604073, 604073, 1357201, 1561919, 2010733, 2010733, 2010733, 2010733, 2010733, 2010733, 2010733, 2010733, 2238823, 4652353, 4652353, 4652353, 4652353

Offset: 1

Author

Rainer Rosenthal, Feb 02 2003

Keywords

• nonn

Comments

Inspired by Andrica's conjecture.

Each of these terms, k, has been tested to at least 100*k. - Sean A. Irvine, Jul 29 2025

References

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

Links

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

Crossrefs

Cf. A038458, A074976, A078693.

Extensions

More terms from Sean A. Irvine, Jul 29 2025