A095924 a(n) is the smallest prime of earlier set of n consecutive good primes version 1 (see A046869).

5, 37, 211, 251, 32467, 96377, 96377, 5647409, 12285587, 202924901, 3916407479

Offset

1,1

References

Puzzle 273 of The Prime puzzles & Problem connection (www.primepuzzles.net).

Links

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

Carlos. Rivera Consecutive 'good' primes

Example

A good prime (version 1) is a prime p=prime(n) such that prime(n)^2 > prime(n-1)*prime(n+1), so 5 is a good prime because 5=prime(3); prime(2)=3; prime(4)=7 & 5^2 > 3*7.
a(11)=3916407479 because the 11 consecutive primes 3916407479, 3916407527, 3916407569, 3916407611, 3916407653, 3916407679, 3916407697, 3916407713, 3916407727, 3916407739 & 3916407751 are good primes and 3916407479 is the smallest prime with this property.

Crossrefs

Cf. A046869, A028388, A096473.

Sequence in context: A270931 A241629 A273539 * A270019 A179567 A362337

Adjacent sequences: A095921 A095922 A095923 * A095925 A095926 A095927

Keyword

more,nonn

Author

Enoch Haga and Farideh Firoozbakht, Jul 12 2004

Status

approved