OFFSET
1,1
COMMENTS
Differences > a(46) = 462 require search beyond 10^12. - Hugo Pfoertner, Sep 02 2020
Searched range through 10^13. - Hugo Pfoertner, Sep 17 2020
EXAMPLE
a(5)=12 because the larger difference between A084105(5)=199 and its prime neighbors 197 and 211 is 211-199=12.
a(51)=648 corresponds to the gaps between the 3 consecutive primes 9787731507761, 9787731508409, 9787731508411. - Hugo Pfoertner, Sep 19 2020
PROG
(PARI) default(realprecision, 20); default(primelimit, 436270000); { apt(m)= local(dl, dr, q, qm); qm=1.0; for(n=2, m, dl=prime(n)-prime(n-1); dr=prime(n+1)-prime(n); q=min(dl, dr)/max(dl, dr)+0.; if(q<qm, qm=q; print(dl" "dr" "max(dl, dr)" "q" "prime(n)" "n-1))); }
(PARI) a084106(limit)={my(p1=2, p2=3, q=0); forprime(k=5, limit, my(r=max((p2-p1)/(k-p2), (k-p2)/(p2-p1))); if(r>q, q=r; print1(max(p2-p1, k-p2), ", ")); p1=p2; p2=k)};
a084106(10^9) \\ Hugo Pfoertner, Sep 02 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, May 29 2003
EXTENSIONS
More terms from Don Reble and Jason Earls, May 29 2003
a(36)-a(46) from Hugo Pfoertner, Sep 02 2020
a(47)-a(51) from Hugo Pfoertner, Sep 17 2020
a(52)-a(57) from Martin Ehrenstein, Aug 07 2021
STATUS
approved