Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A155214
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A155214 Palindromes n with the property that for some prime p, n = p + prime(p). +0
2
5, 8, 424, 606, 666, 2552, 42924, 63936, 80108, 85358, 206602, 210012, 255552, 617716, 624426, 2003002, 2056502, 2178712, 2229222, 2239322, 2253522, 2358532, 2400042, 2426242, 2554552, 2634362, 2702072, 2804082, 2907092, 2948492 (list; graph; listen)
OFFSET

1,1

COMMENT

It is conjectured that the sequence is infinite.

LINKS

Ulrich Krug and Aurelien Herault, Table of n, a(n) for n = 1..83

EXAMPLE

2+prime(2) = 2+3 = 5

3+prime(3) = 3+5 = 8

71+prime(71) = 71+353 = 424

97+prime(97) = 97+509 = 606

103+prime(103) = 103+563 = 666

331+prime(331) = 331+2221 = 2552

4091+prime(4091) = 4091+38833 = 42924

5879+prime(5879) = 5879+58057 = 63936

7207+prime(7207) = 7207+72901 = 80108

7639+prime(7639) = 7639+77719 = 85358

17123+prime(17123) = 17123+189479 = 206602

17383+prime(17383) = 17383+192629 = 210012

20809+prime(20809) = 20809+234743 = 255552

46889+prime(46889) = 46889+570827 = 617716

47363+prime(47363) = 47363+577063 = 624426

139493+prime(139493) = 139493+1863509 = 2003002

142969+prime(142969) = 142969+1913533 = 2056502

150869+prime(150869) = 150869+2027843 = 2178712

154111+prime(154111) = 154111+2075111 = 2229222

154753+prime(154753) = 154753+2084569 = 2239322

155663+prime(155663) = 155663+2097859 = 2253522

162419+prime(162419) = 162419+2196113 = 2358532

165059+prime(165059) = 165059+2234983 = 2400042

166739+prime(166739) = 166739+2259503 = 2426242

174893+prime(174893) = 174893+2379659 = 2554552

179989+prime(179989) = 179989+2454373 = 2634362

184273+prime(184273) = 184273+2517799 = 2702072

190759+prime(190759) = 190759+2613323 = 2804082

197311+prime(197311) = 197311+2709781 = 2907092

199909+prime(199909) = 199909+2748583 = 2948492

The following terms were computed by Aurelien Herault (aurelien(AT)a2studio.fr):

270527+prime(270527) = 270527+3808177 = 4078704

280613+prime(280613) = 280613+3960811 = 4241424

283697+prime(283697) = 283697+4008227 = 4291924

289897+prime(289897) = 289897+4102037 = 4391934

291691+prime(291691) = 291691+4129553 = 4421244

313037+prime(313037) = 313037+4455637 = 4768674

319027+prime(319027) = 319027+4547657 = 4866684

321143+prime(321143) = 321143+4579951 = 4901094

440399+prime(440399) = 440399+6431387 = 6871786

440863+prime(440863) = 440863+6438923 = 6879786

443227+prime(443227) = 443227+6475969 = 6919196

443413+prime(443413) = 443413+6478883 = 6922296

508901+prime(508901) = 508901+7510207 = 8019108

517547+prime(517547) = 517547+7647071 = 8164618

517609+prime(517609) = 517609+7648009 = 8165618

521869+prime(521869) = 521869+7715459 = 8237328

522659+prime(522659) = 522659+7727869 = 8250528

524369+prime(524369) = 524369+7755359 = 8279728

531871+prime(531871) = 531871+7874177 = 8406048

532601+prime(532601) = 532601+7885547 = 8418148

537497+prime(537497) = 537497+7963561 = 8501058

555691+prime(555691) = 555691+8253397 = 8809088

556051+prime(556051) = 556051+8259137 = 8815188

1274149+prime(1274149) = 1274149+20059163 = 21333312

1326389+prime(1326389) = 1326389+20939833 = 22266222

1428793+prime(1428793) = 1428793+22671349 = 24100142

1445569+prime(1445569) = 1445569+22954873 = 24400442

1447399+prime(1447399) = 1447399+22986043 = 24433442

1532131+prime(1532131) = 1532131+24423821 = 25955952

a(60) = 1660039 + Prime(1660039) = 1660039 + 26606243 = 28266282

a(61) = 2308913 + Prime(2308913) = 2308913 + 37824191 = 40133104

a(62) = 2320361 + Prime(2320361) = 2320361 + 38023943 = 40344304

a(63) = 2382461 + Prime(2382461) = 2382461 + 39105953 = 41488414

a(64) = 2588827 + Prime(2588827) = 2588827 + 42722527 = 45311354

a(65) = 2610901 + Prime(2610901) = 2610901 + 43111853 = 45722754

a(66) = 2670611 + Prime(2670611) = 2670611 + 44163253 = 46833864

a(67) = 2729747 + Prime(2729747) = 2729747 + 45204227 = 47933974

a(68) = 2738753 + Prime(2738753) = 2738753 + 45360331 = 48099084

a(69) = 2778823 + Prime(2778823) = 2778823 + 46066061 = 48844884

a(70) = 3562343 + Prime(3562343) = 3562343 + 60004193 = 63566536

a(71) = 3584107 + Prime(3584107) = 3584107 + 60393829 = 63977936

a(72) = 3629359 + Prime(3629359) = 3629359 + 61204487 = 64833846

a(73) = 3666797 + Prime(3666797) = 3666797 + 61877759 = 65544556

a(74) = 3827927 + Prime(3827927) = 3827927 + 64772759 = 68600686

a(75) = 3833737 + Prime(3833737) = 3833737 + 64878049 = 68711786

a(76) = 3861167 + Prime(3861167) = 3861167 + 65372129 = 69233296

a(77) = 3901043 + Prime(3901043) = 3901043 + 66087953 = 69988996

a(78) = 4441751 + Prime(4441751) = 4441751 + 75858557 = 80300308

a(79) = 4453399 + Prime(4453399) = 4453399 + 76069109 = 80522508

a(80) = 4495577 + Prime(4495577) = 4495577 + 76837741 = 81333318

a(81) = 4515937 + Prime(4515937) = 4515937 + 77206781 = 81722718

a(82) = 4769459 + Prime(4769459) = 4769459 + 81819109 = 86588568

a(83) = 4915621 + Prime(4915621) = 4915621 + 84484877 = 89400498

CROSSREFS

See A145531 for the primes p.

Sequence in context: A151827 A162571 A046490 this_sequence A028934 A144408 A019636

Adjacent sequences: A155211 A155212 A155213 this_sequence A155215 A155216 A155217

KEYWORD

nonn,base

AUTHOR

Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 22 2009, Mar 02 2009, Mar 04 2009

EXTENSIONS

Edited by N. J. A. Sloane, Mar 02 2009

a(60)-a(83) from Aurelien Herault (aurelien(AT)a2studio.fr), Mar 16 2009

page 1

Search completed in 0.003 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


AT&T Labs Research