login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A275022 Primes not in A001097 and not in A275021 that occur in pairs of the form {p, p+6}. 0
47, 53, 251, 257, 331, 337, 353, 359, 367, 373, 541, 547, 557, 563, 587, 593, 607, 613, 647, 653, 727, 733, 947, 953, 977, 983, 991, 997, 1097, 1103, 1117, 1123, 1181, 1187, 1361, 1367, 1433, 1439, 1493, 1499, 1657, 1663, 1741, 1747, 1753 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
List of prime numbers that occur in pairs of the form {p, p+6} after the sequential removal, from a list of all the primes, of (1) the one pair of primes of the form {p, p+1}, (2) all remaining twin prime pairs {p, p+2}, and (3) all remaining pairs of the form {p, p+4}.
Conjecture: The sequence has infinitely many terms and the sum of their reciprocals converges.
LINKS
PROG
(PARI) {
/* For biggest n allocatemem(max)*/
n=10^4-1;
v=vector(n, unused, 1);
for(i=2, sqrt(n),
if(v[i],
forstep(j=i^2, n, i, v[j]=0))
);
v[2]=0; v[3]=0;
for(i=5, n-2,
if(v[i]&&v[i+2],
v[i]=0; v[i+2]=0
)
);
for(i=5, n-4,
if(v[i]&&v[i+4],
v[i]=0; v[i+4]=0;
)
);
for(i=5, n-6,
if(v[i]&&v[i+6],
print1(i", "i+6", ");
v[i]=0; v[i+6]=0;
)
)
}
CROSSREFS
Sequence in context: A141279 A155139 A106279 * A355601 A048581 A169716
KEYWORD
nonn,more
AUTHOR
Dimitris Valianatos, Nov 12 2016
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 18 21:02 EDT 2024. Contains 374388 sequences. (Running on oeis4.)