What is a PRP ?
A PRP is a probable prime number, a number that nobody knows how to prove
or disprove its primality.
Here are some criterions that can be used to recognize these numbers
:
- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N
should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3.
N should pass the strong test in base b.
- or more (if someone has got an idea) !!!
Submit your PRPs
See the Top discoverers
See the Latest PRPs
Search by form
| Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
| 5001 | (5*10^139457+79)/3 | 139458 | Robert Price | 03/2018 |
| 5002 | 2^463237-99 | 139449 | Lelio R Paula | 09/2017 |
| 5003 | (49*10^139442+383)/9 | 139443 | Robert Price | 04/2019 |
| 5004 | 31155^29902+29902^31155 | 139441 | Hans Havermann | 05/2021 |
| 5005 | (7*10^139417-547)/9 | 139417 | Robert Price | 01/2018 |
| 5006 | 29636^31175-31175^29636 | 139409 | Frank Doornink | 05/2024 |
| 5007 | (10^139398+191)/3 | 139398 | Robert Price | 02/2018 |
| 5008 | 23*10^139386-3 | 139388 | Robert Price | 10/2021 |
| 5009 | 2^463019+79463 | 139383 | Enzo Doria | 06/2016 |
| 5010 | 3^292129-112756 | 139381 | Enzo Doria | 07/2014 |
| 5011 | (15*2^462951+1)/527 | 139361 | Lelio R Paula | 08/2015 |
| 5012 | 31922^23205+23205^31922 | 139359 | Hans Havermann | 05/2021 |
| 5013 | (19*10^139336+503)/9 | 139337 | Alfred Reich | 11/2023 |
| 5015 | 2^462855-1865707 | 139334 | Enzo Doria | 02/2016 |
| 5014 | 31237^28876+28876^31237 | 139334 | Hans Havermann | 05/2021 |
| 5016 | (86*10^139315+121)/9 | 139316 | Robert Price | 08/2019 |
| 5017 | 2^462786-292043 | 139313 | Enzo Doria | 08/2015 |
| 5018 | 38915^3798+3798^38915 | 139299 | Hans Havermann | 05/2021 |
| 5020 | (26*10^139289+1)/9 | 139290 | Serge Batalov | 05/2010 |
| 5019 | (17*10^139289+7)/3 | 139290 | Robert Price | 06/2023 |
| 5021 | 34065^12248+12248^34065 | 139260 | Hans Havermann | 05/2021 |
| 5022 | 36425^6654+6654^36425 | 139256 | Hans Havermann | 05/2021 |
| 5023 | 39252^3527+3527^39252 | 139243 | Hans Havermann | 05/2021 |
| 5024 | (17*10^139239+67)/3 | 139240 | Robert Price | 01/2019 |
| 5025 | 31887^23248+23248^31887 | 139231 | Hans Havermann | 05/2021 |
| 5026 | (25*10^139210-97)/9 | 139211 | Robert Price | 01/2022 |
| 5027 | 2^462238-935 | 139148 | Yves Minet | 02/2014 |
| 5028 | (29*10^139134-119)/9 | 139135 | Robert Price | 12/2021 |
| 5029 | U(687859)/4127153 | 139105 | Serge Batalov | 07/2024 |
| 5030 | (109*10^139100-7)/3 | 139102 | Robert Price | 03/2021 |
| 5031 | 38744^3885+3885^38744 | 139068 | Hans Havermann | 05/2021 |
| 5032 | 31112^29499+29499^31112 | 139065 | Hans Havermann | 05/2021 |
| 5033 | 2*10^139043-63 | 139044 | Robert Price | 01/2022 |
| 5034 | 36390^6613+6613^36390 | 139025 | Hans Havermann | 04/2021 |
| 5035 | 30554^30989-30989^30554 | 138988 | Frank Doornink | 05/2024 |
| 5036 | 2*10^138975+33 | 138976 | Robert Price | 11/2021 |
| 5037 | 42437^1882+1882^42437 | 138966 | Hans Havermann | 05/2021 |
| 5038 | 32151^20990+20990^32151 | 138958 | Hans Havermann | 05/2021 |
| 5039 | 32154^20933+20933^32154 | 138933 | Hans Havermann | 04/2021 |
| 5040 | 31082^29499+29499^31082 | 138931 | Hans Havermann | 04/2021 |
| 5041 | 30573^30962-30962^30573 | 138876 | Frank Doornink | 05/2024 |
| 5042 | 2^461228+1870441 | 138844 | Enzo Doria | 05/2016 |
| 5043 | 2^461204-113675 | 138837 | Enzo Doria | 08/2014 |
| 5044 | (397227*29^94935-19)/28 | 138837 | Eric Chen | 06/2025 |
| 5045 | (2^461139-7)/47 | 138815 | Lelio R Paula | 08/2015 |
| 5046 | (17*10^138812-521)/9 | 138813 | Robert Price | 04/2018 |
| 5047 | 3*10^138811-11 | 138812 | Robert Price | 07/2018 |
| 5048 | 29109^31088-31088^29109 | 138778 | Frank Doornink | 05/2024 |
| 5049 | (28*10^138768+173)/3 | 138769 | Robert Price | 12/2019 |
| 5050 | (17*2^460963+1)/124051613 | 138757 | Lelio R Paula | 08/2015 |
| 5051 | (379*10^138737-1)/9 | 138739 | Robert Price | 02/2020 |
| 5052 | (43*10^138648+101)/9 | 138649 | Robert Price | 11/2018 |
| 5053 | 2^460567-113541 | 138645 | Enzo Doria | 08/2014 |
| 5054 | 2^460539+224789 | 138637 | Enzo Doria | 07/2024 |
| 5055 | (10^138622+161)/9 | 138622 | Robert Price | 09/2021 |
| 5056 | 7*10^138604+3 | 138605 | Robert Price | 08/2015 |
| 5057 | (133*10^138600+17)/3 | 138602 | Robert Price | 11/2021 |
| 5058 | 33912^12203+12203^33912 | 138581 | Hans Havermann | 05/2021 |
| 5059 | 2^460330+69 | 138574 | Lelio R Paula | 09/2017 |
| 5060 | (17*10^138569-77)/3 | 138570 | Robert Price | 08/2019 |
| 5061 | 31186^27725+27725^31186 | 138556 | Hans Havermann | 05/2021 |
| 5062 | (41^85909-3^85909)/38 | 138552 | Robert Price | 09/2025 |
| 5063 | (16*10^138545+89)/3 | 138546 | Robert Price | 03/2021 |
| 5064 | 39753^3056+3056^39753 | 138546 | Hans Havermann | 05/2021 |
| 5065 | 31282^26847+26847^31282 | 138545 | Hans Havermann | 05/2021 |
| 5066 | 6*10^138520-37 | 138521 | Robert Price | 02/2021 |
| 5069 | 2^460078-69581 | 138498 | Enzo Doria | 12/2015 |
| 5067 | 31830^22447+22447^31830 | 138498 | Hans Havermann | 05/2021 |
| 5068 | Phi(237987,2^3) | 138498 | Henri Lifchitz | 12/2025 |
| 5070 | 37384^5065+5065^37384 | 138492 | Hans Havermann | 05/2021 |
| 5071 | 28736^31055-31055^28736 | 138457 | Frank Doornink | 05/2024 |
| 5072 | 34774^9585+9585^34774 | 138456 | Hans Havermann | 05/2021 |
| 5073 | 10^138444-5001 | 138444 | Robert Price | 12/2021 |
| 5074 | 2^459768+1531 | 138404 | Lelio R Paula | 06/2012 |
| 5075 | (266*10^138328-17)/3 | 138330 | Robert Price | 07/2020 |
| 5076 | 27200^31193-31193^27200 | 138328 | Frank Doornink | 01/2024 |
| 5077 | 2024^41836+2025 | 138319 | Henri Lifchitz | 01/2025 |
| 5078 | 28782^31019-31019^28782 | 138318 | Frank Doornink | 05/2024 |
| 5079 | 32963^15696+15696^32963 | 138306 | Hans Havermann | 05/2021 |
| 5080 | 2^459343-113611 | 138277 | Enzo Doria | 08/2014 |
| 5081 | (28*10^138240+113)/3 | 138241 | Robert Price | 03/2020 |
| 5082 | 2^459199+1874393 | 138233 | Enzo Doria | 06/2016 |
| 5083 | 33339^14002+14002^33339 | 138230 | Hans Havermann | 05/2021 |
| 5084 | 30137^30860-30860^30137 | 138226 | Frank Doornink | 05/2024 |
| 5085 | 2^459063-345307 | 138192 | Enzo Doria | 06/2015 |
| 5086 | 2*10^138162-43 | 138163 | Robert Price | 04/2018 |
| 5087 | 2^458927-112747 | 138151 | Enzo Doria | 06/2014 |
| 5088 | 2^458927-69217 | 138151 | Enzo Doria | 11/2015 |
| 5089 | 30907^29458+29458^30907 | 138130 | Hans Havermann | 05/2021 |
| 5090 | 32882^15837+15837^32882 | 138094 | Hans Havermann | 05/2021 |
| 5091 | 39252^3295+3295^39252 | 138083 | Hans Havermann | 05/2021 |
| 5092 | 33789^12190+12190^33789 | 138062 | Hans Havermann | 06/2021 |
| 5093 | 555555*2^458524+1513 | 138036 | Darren Bedwell | 08/2009 |
| 5094 | 28095^31028-31028^28095 | 138033 | Frank Doornink | 05/2024 |
| 5095 | 30931^29002+29002^30931 | 138028 | Hans Havermann | 05/2021 |
| 5096 | 2^458465+2^32+1 | 138012 | T. D. Noe | 06/2007 |
| 5097 | 32206^19275+19275^32206 | 138003 | Hans Havermann | 05/2021 |
| 5098 | 2^458321-113053 | 137969 | Enzo Doria | 07/2014 |
| 5099 | 6^177298+323 | 137965 | Riley Fisher | 03/2023 |
| 5100 | 2^458298+79459 | 137962 | Enzo Doria | 06/2016 |
| 5101 | 30254^30789-30789^30254 | 137959 | Frank Doornink | 05/2024 |
| 5102 | 2^458248-21815 | 137947 | Enzo Doria | 07/2013 |
| 5103 | 2^458194+1876549 | 137931 | Enzo Doria | 07/2016 |
| 5104 | (318259#+325270)/(2^2*5*11*2957) | 137907 | Makoto Morimoto | 10/2017 |
| 5105 | (318259#+2625)/(3^2*5*7^5*22965193) | 137899 | Makoto Morimoto | 06/2019 |
| 5106 | (793*10^137887+53)/9 | 137889 | Robert Price | 01/2022 |
| 5107 | 2^457937+57 | 137853 | Lelio R Paula | 09/2017 |
| 5108 | 28714^30921-30921^28714 | 137849 | Frank Doornink | 05/2024 |
| 5109 | (8*10^137845+13)/3 | 137846 | Robert Price | 06/2018 |
| 5110 | 2^457822+105 | 137819 | Donovan Johnson | 06/2006 |
| 5111 | 2^457754-113711 | 137798 | Enzo Doria | 09/2014 |
| 5112 | 11^132315-360 | 137792 | Enzo Doria | 09/2012 |
| 5113 | (2^659318)%L(659318) | 137787 | Henri Lifchitz | 05/2025 |
| 5114 | 32072^19689+19689^32072 | 137725 | Hans Havermann | 06/2021 |
| 5115 | 26529^31132-31132^26529 | 137720 | Frank Doornink | 03/2024 |
| 5116 | 44592^1225+1225^44592 | 137707 | Hans Havermann | 05/2021 |
| 5117 | 28986^30857-30857^28986 | 137690 | Frank Doornink | 05/2024 |
| 5118 | 2^457347-37 | 137676 | Lelio R Paula | 09/2017 |
| 5119 | 2^457322-2786393 | 137668 | Enzo Doria | 10/2015 |
| 5120 | gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901) | 137664 | Serge Batalov | 04/2015 |
| 5121 | Phi(699340M,10) | 137664 | Anonymous | 03/2025 |
| 5122 | 34015^11134+11134^34015 | 137647 | Hans Havermann | 06/2021 |
| 5123 | 2^457240-59939 | 137643 | Enzo Doria | 10/2015 |
| 5124 | (856*10^137633-1)/9 | 137635 | Robert Price | 03/2020 |
| 5125 | 36232^6289+6289^36232 | 137631 | Hans Havermann | 05/2021 |
| 5126 | 2^457120-21575 | 137607 | Enzo Doria | 07/2013 |
| 5127 | (11*2^456978+1)/15 | 137564 | Lelio R Paula | 07/2015 |
| 5128 | 30963^27722+27722^30963 | 137564 | Hans Havermann | 04/2021 |
| 5129 | 33722^12003+12003^33722 | 137562 | Hans Havermann | 06/2021 |
| 5130 | (7*25^98399+10613)/12 | 137556 | Curtis Bright | 05/2015 |
| 5131 | 41901^1918+1918^41901 | 137555 | Hans Havermann | 06/2021 |
| 5132 | (7*10^137551-1)/3 | 137552 | Robert Price | 08/2022 |
| 5133 | 32930^15021+15021^32930 | 137539 | Hans Havermann | 05/2021 |
| 5134 | 31178^25785+25785^31178 | 137538 | Hans Havermann | 05/2021 |
| 5135 | 419^52446+52446^419 | 137525 | Norbert Schneider | 11/2020 |
| 5136 | 2^456813+214175 | 137515 | Enzo Doria | 10/2023 |
| 5137 | 2^456796-113513 | 137510 | Enzo Doria | 08/2014 |
| 5138 | 31788^21137+21137^31788 | 137485 | Hans Havermann | 04/2021 |
| 5139 | (7*2^456655+1)/39 | 137467 | Lelio R Paula | 07/2015 |
| 5140 | 27151^31004-31004^27151 | 137466 | Frank Doornink | 01/2024 |
| 5141 | 2^456503-114361 | 137422 | Enzo Doria | 01/2015 |
| 5142 | (11*2^456387+1)/19 | 137386 | Lelio R Paula | 07/2015 |
| 5143 | 30618^30618-5^5 | 137352 | Serge Batalov | 04/2024 |
| 5144 | 36248^6147+6147^36248 | 137332 | Hans Havermann | 05/2021 |
| 5145 | 31986^19651+19651^31986 | 137329 | Hans Havermann | 05/2021 |
| 5146 | 2^456167+22313 | 137320 | Enzo Doria | 09/2023 |
| 5147 | 31817^20656+20656^31817 | 137292 | Hans Havermann | 05/2021 |
| 5148 | (37^87559-1)/3966428818030710150468 | 137289 | Paul Vanderveen | 06/2025 |
| 5149 | (71*10^137250+1)/9 | 137251 | Serge Batalov | 05/2010 |
| 5150 | 2^455922+76249 | 137247 | Enzo Doria | 05/2016 |
| 5151 | 31310^24171+24171^31310 | 137241 | Hans Havermann | 05/2021 |
| 5152 | 14^119741-119741^14 | 137239 | Serge Batalov | 04/2016 |
| 5153 | 35014^8297+8297^35014 | 137218 | Hans Havermann | 05/2021 |
| 5154 | (19*2^455760+1)/3455 | 137196 | Lelio R Paula | 07/2015 |
| 5156 | 124^(2^16)+57^(2^16) | 137195 | Valeryi Kuryshev | 02/2011 |
| 5155 | 124^65536+57^65536 | 137195 | Serge Batalov | 03/2018 |
| 5157 | 2^455689+72677 | 137177 | Enzo Doria | 04/2016 |
| 5158 | (17948!)^2+Prime(17948) | 137118 | Robert Price | 08/2014 |
| 5159 | 31287^24128+24128^31287 | 137116 | Hans Havermann | 05/2021 |
| 5160 | (37^87421-1)/36 | 137093 | Robert Price | 03/2012 |
| 5161 | 36233^6070+6070^36233 | 137077 | Hans Havermann | 05/2021 |
| 5162 | (8*10^137073-17)/9 | 137073 | Serge Batalov | 11/2022 |
| 5163 | 38418^3697+3697^38418 | 137070 | Hans Havermann | 04/2021 |
| 5164 | 2^455323-57 | 137066 | Lelio R Paula | 09/2017 |
| 5165 | (56*10^137019+583)/9 | 137020 | Robert Price | 08/2021 |
| 5166 | 25017^31148-31148^25017 | 136997 | Frank Doornink | 12/2023 |
| 5167 | (73*17^111333-9)/16 | 136991 | Curtis Bright | 05/2015 |
| 5168 | 2^455025-112723 | 136977 | Enzo Doria | 06/2014 |
| 5169 | 33876^11039+11039^33876 | 136959 | Hans Havermann | 05/2021 |
| 5170 | (19860^32041-1)/(19860^179-1) | 136943 | Ryan Propper | 11/2023 |
| 5171 | (251^57059-1)/250 | 136921 | Anonymous | 04/2024 |
| 5172 | 35142^7873+7873^35142 | 136919 | Hans Havermann | 05/2021 |
| 5173 | (4997*31^91805-1)/2 | 136918 | Eric Chen | 05/2024 |
| 5174 | 66*10^136894+7 | 136896 | Robert Price | 07/2020 |
| 5175 | 28766^30697-30697^28766 | 136875 | Frank Doornink | 05/2024 |
| 5176 | 2^454675-1777 | 136871 | Yves Minet | 10/2011 |
| 5177 | 31676^20931+20931^31676 | 136866 | Hans Havermann | 05/2021 |
| 5178 | 3*10^136829+29 | 136830 | Robert Price | 05/2018 |
| 5179 | 4*10^136813-57 | 136814 | Robert Price | 10/2018 |
| 5180 | (6092*28^94536-143)/9 | 136812 | Curtis Bright | 05/2015 |
| 5181 | fibonacci(654572)-2 | 136798 | Jon Grantham | 08/2023 |
| 5182 | 37359^4588+4588^37359 | 136795 | Hans Havermann | 05/2021 |
| 5183 | 2^454348-53 | 136773 | Lelio R Paula | 09/2017 |
| 5184 | 31^91680-2 | 136729 | Lelio R Paula | 05/2017 |
| 5185 | 2^454199-113697 | 136728 | Enzo Doria | 09/2014 |
| 5186 | 30785^27622+27622^30785 | 136725 | Hans Havermann | 05/2021 |
| 5187 | 32973^14014+14014^32973 | 136725 | Hans Havermann | 05/2021 |
| 5189 | 7*10^136716+69 | 136717 | Robert Price | 07/2019 |
| 5188 | 36002^6273+6273^36002 | 136717 | Hans Havermann | 05/2021 |
| 5190 | 6*10^136692+53 | 136693 | Robert Price | 05/2020 |
| 5191 | Phi(568997,2) | 136692 | Henri Lifchitz | 02/2026 |
| 5192 | (13*10^136687+47)/3 | 136688 | Robert Price | 10/2018 |
| 5193 | F(2*453976)%(2^453976) | 136661 | Henri Lifchitz | 06/2025 |
| 5194 | 2^453935-2791357 | 136649 | Enzo Doria | 01/2016 |
| 5195 | 2^453906-69131 | 136640 | Enzo Doria | 11/2015 |
| 5196 | 33232^12915+12915^33232 | 136620 | Hans Havermann | 05/2021 |
| 5197 | 2^453791+1873913 | 136605 | Enzo Doria | 06/2016 |
| 5198 | 34166^9951+9951^34166 | 136592 | Hans Havermann | 05/2021 |
| 5199 | (21*2^453740-1)/2735 | 136588 | Lelio R Paula | 07/2015 |
| 5200 | 31102^24635+24635^31102 | 136587 | Hans Havermann | 05/2021 |
| 5201 | 580^49413+49413^580 | 136550 | Norbert Schneider | 02/2019 |
| 5202 | 2^453503-2788297 | 136519 | Enzo Doria | 11/2015 |
| 5203 | 34989^7958+7958^34989 | 136486 | Hans Havermann | 12/2020 |
| 5204 | (2*10^136484+187)/9 | 136484 | Robert Price | 06/2022 |
| 5205 | (5^653025)%L(653025) | 136475 | Henri Lifchitz | 06/2025 |
| 5206 | 31007^25158+25158^31007 | 136452 | Hans Havermann | 11/2020 |
| 5207 | 2^453267-113827 | 136447 | Enzo Doria | 09/2014 |
| 5208 | 32234^17085+17085^32234 | 136435 | Hans Havermann | 12/2020 |
| 5209 | 2^453102+1877629 | 136398 | Enzo Doria | 08/2016 |
| 5210 | 31016^24981+24981^31016 | 136397 | Hans Havermann | 12/2020 |
| 5211 | (62*10^136384-791)/9 | 136385 | Robert Price | 06/2019 |
| 5212 | 34171^9798+9798^34171 | 136382 | Hans Havermann | 12/2020 |
| 5213 | (17*10^136354-113)/3 | 136355 | Robert Price | 06/2021 |
| 5214 | 32756^14541+14541^32756 | 136350 | Hans Havermann | 11/2020 |
| 5215 | 32205^17086+17086^32205 | 136313 | Hans Havermann | 12/2020 |
| 5216 | (25*10^136303+161)/3 | 136304 | Robert Price | 09/2019 |
| 5217 | 35337^7196+7196^35337 | 136299 | Hans Havermann | 12/2020 |
| 5218 | (182*10^136291+1)/3 | 136293 | Robert Price | 02/2020 |
| 5219 | (88*10^136234+83)/9 | 136235 | Robert Price | 03/2022 |
| 5220 | 23*10^136225-7 | 136227 | Robert Price | 02/2020 |
| 5221 | L(651821) | 136223 | Henri Lifchitz | 09/2008 |
| 5222 | 25519^30908-30908^25519 | 136208 | Frank Doornink | 02/2024 |
| 5223 | 2^452460+77701 | 136205 | Enzo Doria | 05/2016 |
| 5224 | 2^452440-114755 | 136199 | Enzo Doria | 04/2015 |
| 5225 | 28625^30558-30558^28625 | 136190 | Frank Doornink | 05/2024 |
| 5226 | 32286^16489+16489^32286 | 136157 | Hans Havermann | 11/2020 |
| 5227 | (47*10^136141+493)/9 | 136142 | Robert Price | 03/2019 |
| 5228 | 27140^30699-30699^27140 | 136108 | Frank Doornink | 01/2024 |
| 5229 | Phi(199391,-5) | 136098 | Henri Lifchitz | 12/2025 |
| 5230 | 40392^2339+2339^40392 | 136082 | Hans Havermann | 12/2020 |
| 5231 | 2*10^136057-43 | 136058 | Robert Price | 04/2018 |
| 5232 | 2^451971+21563 | 136057 | Enzo Doria | 08/2023 |
| 5233 | (2^451956-5)/181 | 136051 | Lelio R Paula | 07/2015 |
| 5234 | 2^451947-22165 | 136050 | Enzo Doria | 07/2013 |
| 5235 | (3^451810)%(2^451810) | 136008 | Henri Lifchitz | 06/2025 |
| 5236 | 2^451787-21805 | 136002 | Enzo Doria | 07/2013 |
| 5237 | 2^451734-112817 | 135986 | Enzo Doria | 06/2014 |
| 5238 | (11*2^451714+1)/75 | 135979 | Lelio R Paula | 07/2015 |
| 5239 | 2^451705-21879 | 135977 | Enzo Doria | 07/2013 |
| 5240 | (4666^37249-1)/(4666^193-1) | 135957 | Ryan Propper | 11/2023 |
| 5241 | 2^451560-112349 | 135934 | Enzo Doria | 06/2014 |
| 5242 | 2^451530+45 | 135925 | Lelio R Paula | 08/2017 |
| 5243 | 26594^30719-30719^26594 | 135925 | Frank Doornink | 03/2024 |
| 5244 | 31622^19875+19875^31622 | 135922 | Hans Havermann | 11/2020 |
| 5245 | (25*10^135906-73)/3 | 135907 | Robert Price | 09/2019 |
| 5246 | 2^451450-21743 | 135900 | Enzo Doria | 07/2013 |
| 5247 | (7*10^135879+11)/9 | 135879 | Tyler Busby | 01/2023 |
| 5248 | 35218^7199+7199^35218 | 135846 | Hans Havermann | 11/2020 |
| 5249 | 35661^6446+6446^35661 | 135844 | Hans Havermann | 11/2020 |
| 5250 | (7*33^89453-4743239)/32 | 135835 | Eric Chen | 12/2023 |
