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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A173560 Numbers m such that (6*m)^5 is a sum of a twin prime pair. 0
 16, 44, 84, 135, 161, 631, 849, 880, 1035, 1086, 1721, 1815, 2155, 2704, 2871, 2975, 3011, 3159, 3220, 3365, 3390, 3669, 3996, 4075, 4704, 4761, 5025, 5090, 5299, 5585, 5640, 5970, 6314, 6606, 7035, 7785, 8104, 8129, 8610, 9116, 9665, 9966, 10249 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The twin prime pairs are characterized in A173255. No such m has least significant digit (LSD) e = 2 or 7 because a = (6 * e)^5/2 - 1, representing the smaller of the twin primes, would get LSD 5. No such m has LSD e = 3 or 8, because a+2 = (6 * e)^5/2 + 1, representing the larger prime, would get LSD 5. The primes in this sequence here are a(6) = 631 = prime(115), a(11) = 1721 = prime(268), a(17) = 3011 = prime(432), a(49) = 10859 = prime(1320),... LINKS EXAMPLE p = (6 * 16)^5/2 - 1 = 4076863487 = A000040(193435931); p+2 = A000040(193435932), so a(1) = 16. p = (6 * 44)^5/2 - 1 = 641194278911 = A000040(24524572848); p+2 = A000040(24524572849), so a(2) = 44. p = (6 * 84)^5/2 - 1 = 16260080320511 = A000040(553382827197); p+2 = A000040(553382827198), so a(3) = 84. CROSSREFS Cf. A001359, A061308, A069496, A172271, A172494, A173255 Sequence in context: A235413 A238255 A210375 * A293858 A258547 A211573 Adjacent sequences: A173557 A173558 A173559 * A173561 A173562 A173563 KEYWORD hard,nonn AUTHOR Ulrich Krug (leuchtfeuer37(AT)gmx.de), Feb 21 2010 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 November 26 21:15 EST 2022. Contains 358362 sequences. (Running on oeis4.)