HOME plateWON | World!OfNumbers Near Smoothly Undulating Primes (NSUP's)  (with 22-digit undulators) 1   2   3   4   5   6  Near Smoothly Undulating Primes NSUP's (with 6-digit undulators) Undulating Palindromic Primes Palindromic Wing Primes Plateau & Depression Palindromic Primes Palindromic Merlon Primes Home Primes Circular Primes SUPP-sorted

NSUP” Prime Project Tables

Case [k](d1d2d3...d20d21d22)u = [prefix](22-digit undulator).
Attentive readers of the factor lists will have noticed with me that some SUP(P) primefactors are themselves near smoothly undulating. 'Near' because of an initial prefix and the repeating undulators.
Here we divide the SUP(P) with some or all of its prime factors upto 11. The candidates for 'Mark 11' can be found in the following concise table.

 The reference table forNear Smoothly Undulating PrimesCases with longer undulatorsderived from both sets of SUPP's and SUP's Mark 11 This collection is complete forprobable primes up to see headings digits. `PDG = Patrick De Geest` NSUP FormulaAccolades = prime exp Who When Status PrimeCertificat ¬ n ⩾ 100015 (PDG, September 9, 2022) 1(21)1/11 = [11](0192837465564738291011)0 (12*10{3}–21)/(99*11) PDG Sep 03 2022 PRP View 1(21)?/11 = [11](0192837465564738291011)? (12*10?–21)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30769 (PDG, September 3, 2022) 1(31)?/11 = [119375573921](0284664830119375573921)? (13*10?–31)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30127 (PDG, September 3, 2022) 1(41)950/11 = [12855831](0376492194674012855831)86 (14*10{1901}–41)/(99*11) PDG Sep 03 2022 PRP View 1(41)?/11 = [12855831](0376492194674012855831)? (14*10?–41)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30169 (PDG, September 3, 2022) 1(51)?/11 = [137741](0468319559228650137741)? (15*10?–51)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30511 (PDG, September 3, 2022) 1(61)9/11 = [146923783287419651](0560146923783287419651)0 (16*10{19}–61)/(99*11) PDG Sep 03 2022 PRP View 1(61)?/11 = [146923783287419651](0560146923783287419651)? (16*10?–61)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 31069 (PDG, September 3, 2022) 1(71)?/11 = [1561](0651974288337924701561)? (17*10?–71)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30751 (PDG, September 3, 2022) 1(81)?/11 = [1652892561983471](0743801652892561983471)? (18*10?–81)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 31717 (PDG, September 3, 2022) 1(91)?/11 = [17447199265381](0835629017447199265381)? (19*10?–91)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 32645 (PDG, September 3, 2022) 2(12)9/22/11 = [48209366391184573](0027548209366391184573)0 (21*10{19}–12)/(99*4*11) PDG Sep 03 2022 PRP View 2(12)9656/22/11 = [48209366391184573](0027548209366391184573)877 (21*1019313–12)/(99*4*11) PDG Sep 03 2022 PRP View 2(12)?/22/11 = [48209366391184573](0027548209366391184573)? (21*10?–12)/(99*4*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 31003 (PDG, September 3, 2022) 2(32)13/25/11 = [66](0009182736455463728191)1 (23*1027–32)/(99*32*11) PDG Sep 03 2022 PRP View 2(32)?/25/11 = [66](0009182736455463728191)? (23*10?–32)/(99*32*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30289 (PDG, September 3, 2022) 2(52)?/22/11 = [573921028466483](0119375573921028466483)? (25*10?–52)/(99*4*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 41793 (PDG, September 3, 2022) 2(72)?/23/11 = [3099173553719](0082644628099173553719)? (27*10?–72)/(99*8*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 84645 (PDG, September 3, 2022) 2(92)27/22/11 = [665748393](0211202938475665748393)2 (29*1055–92)/(99*4*11) PDG Sep 03 2022 PRP View 2(92)?/22/11 = [665748393](0211202938475665748393)? (29*10?–92)/(99*4*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 71135 (PDG, September 4, 2022) 3(13)?/11 = [28466483](0119375573921028466483)? (31*10?–13)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 30905 (PDG, September 4, 2022) 3(23)5827/11 = [2938475665748393](0211202938475665748393)529 (32*1011655–23)/(99*11) PDG Sep 04 2022 PRP View 3(23)?/11 = [2938475665748393](0211202938475665748393)? (32*10?–23)/(99*11) PDG Sep 03 2022 PRP View ¬ n ⩾ 34217 (PDG, September 4, 2022) 3(43)?/11 = [312213](0394857667584940312213)? (34*10?–43)/(99*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 50813 (PDG, September 4, 2022) 3(53)73/11 = [32139577594123](0486685032139577594123)6 (35*10147–53)/(99*11) PDG Sep 04 2022 PRP View 3(53)128/11 = [32139577594123](0486685032139577594123)11 (35*10{257}–53)/(99*11) PDG Sep 04 2022 PRP View 3(53)?/11 = [32139577594123](0486685032139577594123)? (35*10?–53)/(99*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 1000001 (PDG, September 4, 2022) 3(73)?/11 = [339761248852157943](0670339761248852157943)? AC (37*10?–73)/(99*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 46739 (PDG, September 4, 2022) 3(83)6473/11 = [3489439853](0762167125803489439853)588 (38*1012947–83)/(99*11) PDG Sep 04 2022 PRP View 3(83)?/11 = [3489439853](0762167125803489439853)? (38*10?–83)/(99*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 32111 (PDG, September 4, 2022) 4(14)171/2/11 = [188246097337](0064279155188246097337)15 (41*10343–14)/(99*2*11) PDG Sep 04 2022 PRP View 4(14)?/2/11 = [188246097337](0064279155188246097337)? (41*10?–14)/(99*2*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 41749 (PDG, September 4, 2022) 4(34)?/2/11 = [19742883379247](0156106519742883379247)? (43*10?–34)/(99*2*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 44009 (PDG, September 4, 2022) 4(54)147/2/11 = [20661157](0247933884297520661157)13 (45*10295–54)/(99*2*11) PDG Sep 04 2022 PRP View 4(54)2281/2/11 = [20661157](0247933884297520661157)207 (45*104563–54)/(99*2*11) PDG Sep 04 2022 PRP View 4(54)?/2/11 = [20661157](0247933884297520661157)? (45*10?–54)/(99*2*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 33055 (PDG, September 4, 2022) 4(74)7386/2/11 = [2157943067](0339761248852157943067)671 (47*1014773–74)/(99*2*11) PDG Sep 04 2022 PRP View 4(74)?/2/11 = [2157943067](0339761248852157943067)? (47*10?–74)/(99*2*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 56833 (PDG, September 4, 2022) 4(94)3/2/11 = [224977](0431588613406795224977)0 (49*10{7}–94)/(99*2*11) PDG Sep 04 2022 PRP View 4(94)?/2/11 = [224977](0431588613406795224977)? (49*10?–94)/(99*2*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 51451 (PDG, September 4, 2022) 5(15)7/5/11 = [9366391184573](0027548209366391184573)0 (51*1015–15)/(99*5*11) PDG Sep 04 2022 PRP View 5(15)?/5/11 = [9366391184573](0027548209366391184573)? (51*10?–15)/(99*5*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 70603 (PDG, September 4, 2022) 5(25)2/52/11 = [191](0009182736455463728191)0 (52*10{5}–25)/(99*25*11) PDG Sep 04 2022 PRP View 5(25)5007/52/11 = [191](0009182736455463728191)455 (52*1010015–25)/(99*25*11) PDG Sep 04 2022 PRP View 5(25)?/52/11 = [191](0009182736455463728191)? (52*10?–25)/(99*25*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 35559 (PDG, September 4, 2022) 5(35)?/5/11 = [97337](0064279155188246097337)? (53*10?–35)/(99*5*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 57411 (PDG, September 4, 2022) 5(45)?/5/11 = [99173553719](0082644628099173553719)? (54*10?–45)/(99*5*11) PDG Sep 04 2022 PRP View ¬ n ⩾ 40161 (PDG, September 5, 2022) 5(65)16/5/11 = [1028466483](0119375573921028466483)1 (56*1033–65)/(99*5*11) PDG Sep 05 2022 PRP View 5(65)11544/5/11 = [1028466483](0119375573921028466483)1049 (56*1023089–65)/(99*5*11) PDG Sep 05 2022 PRP View 5(65)?/5/11 = [1028466483](0119375573921028466483)? (56*10?–65)/(99*5*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 56821 (PDG, September 5, 2022) 5(75)30/52/11 = [209366391184573](0027548209366391184573)2 (57*10{61}–75)/(99*25*11) PDG Sep 05 2022 PRP View 5(75)?/52/11 = [209366391184573](0027548209366391184573)? (57*10?–75)/(99*25*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 30599 (PDG, September 5, 2022) 5(85)?/5/11 = [106519742883379247](0156106519742883379247)? (58*10?–85)/(99*5*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 94015 (PDG, September 5, 2022) 5(95)?/5/11 = [10835629](0174471992653810835629)? (59*10?–95)/(99*5*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 72317 (PDG, September 5, 2022) 6(16)?/24/11 = [35009182736455463728191](0009182736455463728191)? (61*10?–16)/(99*16*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 50039 (PDG, September 5, 2022) 6(56)?/23/11 = [746097337](0064279155188246097337)? (65*10?–56)/(99*8*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 1000001 (PDG, September 5, 2022) 6(76)?/22/11 = [15380835629](0174471992653810835629)? AC (67*10?–76)/(99*4*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 64367 (PDG, September 5, 2022) 7(17)734/11 = [6519742883379247](0156106519742883379247)66 (71*101469–17)/(99*11) PDG Sep 05 2022 PRP View 7(17)?/11 = [6519742883379247](0156106519742883379247)? (71*10?–17)/(99*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 87413 (PDG, September 5, 2022) 7(27)?/11 = [661157](0247933884297520661157)? (72*10?–27)/(99*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 1000001 (PDG, September 5, 2022) 7(37)1/11 = [67](0339761248852157943067)0 AC (73*10{3}–37)/(99*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 50303 (PDG, September 5, 2022) 7(47)?/11 = [6795224977](0431589613406795224977)? (74*10?–47)/(99*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 95925 (PDG, September 5, 2022) 7(57)343/11 = [6887](0523415977961432506887)31 (75*10687–57)/(99*11) PDG Sep 05 2022 PRP View 7(57)?/11 = [6887](0523415977961432506887)? (75*10?–57)/(99*11) PDG Sep 05 2022 PRP View ¬ n ⩾ 1000001 (PDG, September 6, 2022) 7(67)?/11 = [69788797](0615243342516069788797)? AC (76*10?–67)/(99*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 52859 (PDG, September 6, 2022) 7(87)62/11 = [71625344352617](0798898071625344352617)5 (78*10125–87)/(99*11) PDG Sep 06 2022 PRP View 7(87)293/11 = [71625344352617](0798898071625344352617)26 (78*10{587}–87)/(99*11) PDG Sep 06 2022 PRP View 7(87)?/11 = [71625344352617](0798898071625344352617)? (78*10?–87)/(99*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 64215 (PDG, September 6, 2022) 7(97)?/11 = [725436179981634527](0890725436179981634527)? (79*10?–97)/(99*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 50121 (PDG, September 6, 2022) 8(18)2/2/11 = [3719](0082644628099173553719)0 (81*10{5}–18)/(99*2*11) PDG Sep 06 2022 PRP View 8(18)24/2/11 = [3719](0082644628099173553719)2 (81*1049–18)/(99*2*11) PDG Sep 06 2022 PRP View 8(18)?/2/11 = [3719](0082644628099173553719)? (81*10?–18)/(99*2*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 50259 (PDG, September 6, 2022) 8(38)24216/2/11 = [3810835629](0174471992653810835629)2201 (83*1048433–38)/(99*2*11) PDG Sep 06 2022 PRP View 8(38)?/2/11 = [3810835629](0174471992653810835629)? (83*10?–38)/(99*2*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 50471 (PDG, September 6, 2022) 8(58)?/2/11 = [39](0266299357208448117539)? (85*10?–58)/(99*2*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 62245 (PDG, September 6, 2022) 8(78)?/2/11 = [399449](0358126721763085399449)? (87*10?–78)/(99*2*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 63751 (PDG, September 6, 2022) 8(98)?/2/11 = [4086317722681359](0449954086317722681359)? (89*10?–98)/(99*2*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 70011 (PDG, September 6, 2022) 9(19)?/11 = [835629](0174471992653810835629)? (91*10?–19)/(99*11) PDG Sep 06 2022 PRP View ¬ n ⩾ 88715 (PDG, September 7, 2022) 9(29)5/11 = [8448117539](0266299357208448117539)0 (92*10{11}–29)/(99*11) PDG Sep 07 2022 PRP View 9(29)10565/11 = [8448117539](0266299357208448117539)960 (92*1021131–29)/(99*11) PDG Sep 07 2022 PRP View 9(29)?/11 = [8448117539](0266299357208448117539)? (92*10?–29)/(99*11) PDG Sep 07 2022 PRP View ¬ n ⩾ 40385 (PDG, September 7, 2022) 9(49)?/11 = [86317722681359](0449954086317722681359)? (94*10?–49)/(99*11) PDG Sep 07 2022 PRP View ¬ n ⩾ 50327 (PDG, September 7, 2022) 9(59)?/11 = [872359963269](0541781450872359963269)? (95*10?–59)/(99*11) PDG Sep 07 2022 PRP View ¬ n ⩾ 50889 (PDG, September 7, 2022) 9(79)166/11 = [89](0725436179981634527089)15 (97*10333–79)/(99*11) PDG Sep 07 2022 PRP View 9(79)?/11 = [89](0725436179981634527089)? (97*10?–79)/(99*11) PDG Sep 07 2022 PRP View ¬ n ⩾ 72803 (PDG, September 7, 2022) 9(89)?/11 = [8999](0817263544536271808999)? (98*10?–89)/(99*11) PDG Sep 07 2022 PRP View

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