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

Author

Hugo Pfoertner, Aug 26 2021

Keywords

• nonn

Comments

See A347278 for more information.

Links

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

Crossrefs

Cf. A001359, A005597, A114907, A347278.

Programs

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]))

Formula

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