A082278 a(1)=1; for n >= 1, a(n+1) is minimal such that there are a(n) primes strictly between a(n) and a(n+1).

1, 3, 12, 60, 390, 3320, 35570, 471620, 7543118, 142663878, 3136936508, 79061105312, 2256802761948, 72223691097344

Offset

1,2

Comments

3 is the only prime in the sequence.

Links

Table of n, a(n) for n=1..14.

Example

There are 3 primes (5,7,11) between 3 and the next term 12.

Mathematica

a[1]=1; a[2]=3; a[n_] := a[n]=1+Prime[1+Sum[a[i], {i, 1, n-1}]]

Crossrefs

Cf. A082279.

Sequence in context: A053532 A357594 A159867 * A078162 A348002 A211774

Adjacent sequences: A082275 A082276 A082277 * A082279 A082280 A082281

Keyword

more,nonn

Author

Amarnath Murthy, Apr 13 2003

Extensions

Better description from Vladeta Jovovic, Apr 15 2003

a(14) from Chai Wah Wu, Nov 29 2019

Status

approved