A292023 Smallest number starting a longest interval of consecutive integers, each of which is divisible by at least one of n primes specifically chosen to minimize the number.

2, 2, 2, 2, 24, 200, 2298, 30014, 2162, 9699668

Offset

1,1

Comments

This sequence is similar to A049300, except that A049300 uses only the first n primes.

Links

Table of n, a(n) for n=1..10.

Pradeep Mutalik, The Prime Rib Problem

Formula

Empirical observations, discovered by heuristic methods augmented by computer searches.

Example

For n=5, the smallest number generating the maximal interval (13) is 114 using the first n primes. However, if all primes are allowed, the smallest number is 24. Hence a(5) is 24.

Crossrefs

Cf. A049300 - see comment above. The maximal interval is given by A058989.

Sequence in context: A167394 A029627 A075182 * A286851 A320017 A289087

Adjacent sequences: A292020 A292021 A292022 * A292024 A292025 A292026

Keyword

nonn,more

Author

Pradeep Mutalik, Sep 07 2017

Status

approved