A347279 First member p(m) of the m-th twin prime pair such that d(m) < 0 and d(m-1) > 0, with d(k) = k/Integral_{x=2..p(k)} 1/log(x)^2 dx - C, C = 2*A005597 = A114907.

1371911, 1372757, 1393919, 1417991, 1425881, 1428671, 1429247, 1429859, 1430711, 1495379, 1502687, 1503317, 1510217, 35278601, 35280029, 35446781, 35463497, 35468789, 35469779, 35472137, 45225161, 45274751, 45276689, 45306641, 45324551, 45336407, 45336761, 45337517

Offset

1,1

Comments

See A347278 for more information.

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..12134

Formula

A347278(n) < a(n) < A347278(n+1).

Prog

(PARI) \\ see A347278 for auxiliary functions halicon and Li.
a347279(nterms, CHL) = {my(n=2, pprev=1, np=0);
forprime(p=11, , if(p%6!=1&&ispseudoprime(p+2), n++; L=Li(2, p); my(x=n/L-CHL); if(x*pprev>0, if(pprev<0, print1(p, ", "); np++; if(np>nterms, return)); pprev=-pprev)))};
a347279(10, halicon([0, 2]))

Crossrefs

Cf. A001359, A005597, A114907, A347278.

Sequence in context: A235855 A191820 A074999 * A072276 A114657 A250058

Adjacent sequences: A347276 A347277 A347278 * A347280 A347281 A347282

Keyword

nonn

Author

Hugo Pfoertner, Aug 26 2021

Status

approved