The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A340889 Primes p such that, if q is the next prime after p, the sum of prime factors (with multiplicity) of the composites between p and q is at least p+q. 1
 7, 23, 113, 139, 199, 211, 293, 317, 523, 691, 887, 1039, 1069, 1129, 1259, 1327, 1381, 1637, 1669, 1759, 1831, 1933, 1951, 2113, 2179, 2297, 2311, 2423, 2477, 2503, 2557, 2593, 2633, 2861, 2971, 3089, 3137, 3229, 3271, 3433, 3739, 3889, 3947, 3967, 4159, 4177, 4297, 4463, 4523, 4733, 4759, 4831 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE a(2) = 23 is in the sequence because between primes 23 and 29 we have 24 = 2^3*3, 25 = 5^2, 26 = 2*13, 27 = 3^3, 28 = 2^2*7, and 3*2+3+2*5+2+13+3*3+2*2+7 = 54 >= 23 + 29. MAPLE count:= 0: R:= NULL: p:= 2: while count < 100 do t:= 0: for q from p+1 while not isprime(q) do t:= t + add(s[1]*s[2], s=ifactors(q)[2]) od; if t >= p+q then count:= count+1; R:= R, p; fi; p:= q; od: R; CROSSREFS Sequence in context: A096327 A267805 A154113 * A053706 A137367 A267926 Adjacent sequences: A340886 A340887 A340888 * A340890 A340891 A340892 KEYWORD nonn AUTHOR J. M. Bergot and Robert Israel, Jan 25 2021 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.

Last modified June 13 22:21 EDT 2024. Contains 373391 sequences. (Running on oeis4.)