The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A254034 Numbers representable as both b^c + b + c and x*y + x + y, where b, c, x, y are integers bigger than 1. 3
 8, 14, 32, 39, 44, 71, 74, 92, 134, 137, 158, 184, 212, 242, 251, 264, 266, 274, 308, 344, 353, 422, 464, 523, 554, 602, 634, 704, 741, 758, 814, 872, 932, 994, 1013, 1033, 1036, 1058, 1124, 1262, 1334, 1484, 1562, 1642, 1724, 1743, 1808, 1894, 1982, 2072, 2164, 2197 (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(1) = 8 = 2^2 + 2 + 2 = 2*2 + 2 + 2. a(2) = 14 = 3^2 + 3 + 2 = 4*2 + 4 + 2. a(3) = 32 = 5^2 + 5 + 2 = 10*2 + 10 + 2. MAPLE N:= 10000: # to get all entries <= N A1:= {seq(seq(b^c+b+c, c = 2 .. floor(log[b](N))), b = 2 .. floor(sqrt(N)))}: filter2:= proc(x) local x1;    x1:= x+1;    x <= N and not isprime(x1) and not(x1::even and isprime(x1/2)) end proc: sort(convert(select(filter2, A1), list)); # Robert Israel, Dec 28 2020 MATHEMATICA mx = 2200; t = Transpose@ Flatten[ Table[{x^y + x + y, x*y + x + y}, {x, 2, Floor@ Sqrt@ mx}, {y, 2, Floor[mx/x]}], 1]; Intersection[ t[[1]], t[[2]]] (* Robert G. Wilson v, Jan 23 2015 *) CROSSREFS Cf. A253916, A253917. Sequence in context: A144842 A273843 A227867 * A225606 A117132 A064969 Adjacent sequences:  A254031 A254032 A254033 * A254035 A254036 A254037 KEYWORD nonn AUTHOR Alex Ratushnyak, Jan 23 2015 STATUS approved

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

Last modified June 15 02:56 EDT 2021. Contains 345042 sequences. (Running on oeis4.)