A318971 Primes that divide at least one term of A318970.

3, 29, 31821709567, 28480625878963

Offset: 1

Author

Max Alekseyev, Sep 06 2018

Keywords

• nonn
• more
• hard

Comments

No other terms below 10^14.

If prime p does not divide any of the first A227944(p) <= log_2(p) terms of A318970, then p does not divide any term of A318970, i.e., p does not belong to this sequence.

(2^260+5)/261 is a term (76-digit prime). Hence, a(5) <= (2^260+5)/261.

Any prime p with A318989(p)=0 belongs to this sequence. However, it is unknown if there is a term p with nonzero A318989(p).

Examples

			a(1)=3 divides A318970(k) for all k >= 1.
a(2)=29 divides A318970(k) for all k >= 3.
a(3)=31821709567 divides A318970(k) for all k >= 8.
a(4)=28480625878963 divides A318970(k) for all k >= 11.
		

Links

• Max Alekseyev, Iterations of 2^(n-1)+5: the strong law of small numbers, or something bigger?, MathOverflow, 2016.

Crossrefs

Cf. A227944, A245594, A318970, A318989.