A114370 Sum of numbers from prime p to nextprime(p)-1 is a repdigit.

2, 3, 5, 53, 55555553, 55555555555555555555555553, 2777777777777777777777777777777777777

Offset

1,1

Comments

The sequence is built under the (reasonable) assumption that 100+2*Log(p)^2 is an upper bound to the largest gap between a prime p and nextprime(p). Under this assumption there are no other terms with less than 100 digits.

Links

Table of n, a(n) for n=1..7.

Example

nextprime(55555555555555555555555553) is 55555555555555555555555559 and the sum
from 55555555555555555555555553 to 55555555555555555555555558 gives the repdigit 333333333333333333333333333.

Crossrefs

Cf. A010785, A054268.

Sequence in context: A100850 A309607 A060085 * A114725 A136340 A029961

Adjacent sequences: A114367 A114368 A114369 * A114371 A114372 A114373

Keyword

base,nonn

Author

Giovanni Resta, Feb 09 2006

Status

approved