A229178 Primes seen in decimal expansion of e, contiguous, smallest and distinct, with terms larger than 10^100 replaced by 0.

2, 7, 0, 5, 3, 11, 80232878250981945581530175671, 73, 61, 332069, 811, 2509961, 81881593, 41, 0, 30592123, 66771943252786753, 0, 0, 6343, 490769, 64237, 2229435236612557250881, 47, 79, 223, 151, 97, 477806056967, 253801, 71, 0, 0, 9467, 83, 48197

Offset

1,1

Comments

Sequence A047777 is the analog for Pi.

Without the admittedly arbitrary clause "terms larger than ... replaced by zero", the sequence could not be stored beyond its second term, since the 3rd term would have 649 digits (and the 15th term would have 441 digits). Although this restriction is arbitrary, several other (maybe more natural) alternatives (for example, larger than the concatenation of the preceding/following 10 terms...) would yield the same initial terms.

Links

Table of n, a(n) for n=1..36.

Prog

(PARI) default(realprecision, 5000); c=exp(1)/10; u=[]; for(k=0, 9e9, ispseudoprime(c\.1^k) & !setsearch(u, c\.1^k) & (u=setunion(u, Set(c\.1^k))) & !print1(c\.1^k, ", ") & k=0*c=frac(c*10^k))

Crossrefs

Cf. A001113, A007512, A047777, A064118, A229155.

Sequence in context: A101689 A175292 A277815 * A019667 A343049 A098198

Adjacent sequences: A229175 A229176 A229177 * A229179 A229180 A229181

Keyword

nonn,base

Author

M. F. Hasler, Sep 15 2013

Extensions

More terms from Jinyuan Wang, Mar 26 2020

Status

approved