HOME plateWON | World!OfNumbers Factorization of PDP 3(1)w3By courtesy of Jean Claude Rosa Plateau and Depression Primes Factorization PDP 1(3)1

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3(1)w3

(28*10n+17)/9     (n = w+1)

(10k-1)/9 + 2*(10(k-1)+1)    (k = w+2)

[ _W_ ] = prime factors

[ 001 ] = { p3 } = ( #1 ) = PRIME
= 313

[ 002 ] = { p2 * p3 } = ( #2 ) = SEMIPRIME
= 11 * 283

[ 003 ] = { p1 * p1 * p4 } = ( #3 )
= 3 * 3 * 3457

[ 004 ] = { p2 * p5 } = ( #2 ) = SEMIPRIME
= 11 * 28283

[ 005 ] = { p3 * p4 } = ( #2 ) = SEMIPRIME
= 719 * 4327

[ 006 ] = { p1 * p2 * p2 * p2 * p2 * p2 } = ( #6 )
= 3 * 11 * 19 * 29 * 29 * 59

[ 007 ] = { p2 * p7 } = ( #2 ) = SEMIPRIME
= 53 * 5870021

[ 008 ] = { p2 * p2 * p7 } = ( #3 )
= 11 * 31 * 9123493

[ 009 ] = { p1 * p11 } = ( #2 ) = SEMIPRIME

= 3 * 10370370371

[ 010 ] = { p2 * p11 } = ( #2 ) = SEMIPRIME
= 11 * 28282828283

[ 011 ] = { p13 } = ( #1 ) = PRIME
= 3111111111113

[ 012 ] = { p1 * p1 * p2 * p2 * p2 * p2 * p8 } = ( #7 )
= 3 * 3 * 11 * 11 * 23 * 47 * 26427857

[ 013 ] = { p15 } = ( #1 ) = PRIME
= 311111111111113

[ 014 ] = { p2 * p4 * p5 * p7 } = ( #4 )
= 11 * 3319 * 68227 * 1248991

[ 015 ] = { p1 * p17 } = ( #2 ) = SEMIPRIME
= 3 * 10370370370370371

[ 016 ] = { p2 * p3 * p3 * p6 * p7 } = ( #5 )
= 11 * 109 * 233 * 649567 * 1714417

[ 017 ] = { p2 * p4 * p4 * p5 * p6 } = ( #5 )
= 43 * 1949 * 3701 * 32251 * 311009

[ 018 ] = { p1 * p2 * p18 } = ( #3 )
= 3 * 11 * 942760942760942761

[ 019 ] = { p4 * p5 * p5 * p8 } = ( #4 )
= 6343 * 16519 * 31091 * 95499779

[ 020 ] = { p2 * p2 * p2 * p8 * p10 } = ( #5 )
= 11 * 53 * 67 * 16481579 * 4832516527

[ 021 ] = { p1 * p1 * p1 * p2 * p4 * p8 * p9 } = ( #7 )
= 3 * 3 * 3 * 61 * 2621 * 14304887 * 503814277

[ 022 ] = { p2 * p4 * p4 * p6 * p11 } = ( #5 )
= 11 * 1399 * 7109 * 263023 * 10811921431

[ 023 ] = { p2 * p6 * p19 } = ( #3 )
= 31 * 286777 * 3499528307322827599

[ 024 ] = { p1 * p2 * p2 * p4 * p4 * p7 * p10 } = ( #7 )
= 3 * 11 * 19 * 3343 * 5333 * 1224863 * 2272231127

[ 025 ] = { p4 * p11 * p13 } = ( #3 )
= 2633 * 53271266899 * 2218051560539

[ 026 ] = { p2 * p7 * p20 } = ( #3 )
= 11 * 5017477 * 56368625671484458879

[ 027 ] = { p1 * p29 } = ( #2 ) = SEMIPRIME
= 3 * 10370370370370370370370370371

[ 028 ] = { p2 * p29 } = ( #2 ) = SEMIPRIME
= 11 * 28282828282828282828282828283

[ 029 ] = { p31 } = ( #1 ) = PRIME
= 3111111111111111111111111111113

[ 030 ] = { p1 * p1 * p2 * p7 * p24 } = ( #5 )
= 3 * 3 * 11 * 2824681 * 111252791938976797845227

[ 031 ] = { p3 * p6 * p11 * p14 } = ( #4 )
= 631 * 187699 * 61706200481 * 42569191118117

[ 032 ] = { p2 * p5 * p9 * p19 } = ( #4 )
= 11 * 47809 * 929997611 * 6361087125232144817

[ 033 ] = { p1 * p2 * p2 * p3 * p5 * p24 } = ( #6 )
= 3 * 53 * 97 * 311 * 14759 * 439470109105984890184919

[ 034 ] = { p2 * p2 * p2 * p2 * p4 * p5 * p23 } = ( #7 )
= 11 * 11 * 23 * 29 * 2593 * 44263 * 33586206609328458761701

[ 035 ] = { p3 * p6 * p29 } = ( #3 )
= 521 * 129221 * 46210929168945670039980326093

[ 036 ] = { p1 * p2 * p16 * p21 } = ( #4 )
= 3 * 11 * 1927495577510297 * 489111857770737933713

[ 037 ] = { p9 * p10 * p21 } = ( #3 )
= 855243013 * 1811431241 * 200818691739035818061

[ 038 ] = { p2 * p2 * p2 * p4 * p13 * p19 } = ( #6 )
= 11 * 31 * 43 * 7829 * 4539806352073 * 5969652705834051803

[ 039 ] = { p1 * p1 * p40 } = ( #3 )
= 3 * 3 * 3456790123456790123456790123456790123457

[ 040 ] = { p2 * p4 * p37 } = ( #3 )
= 11 * 6917 * 4088886552382287527581730270757305599

[ 041 ] = { p4 * p6 * p34 } = ( #3 )
= 4813 * 497957 * 1298099009119352724937444120804393

[ 042 ] = { p1 * p2 * p2 * p5 * p14 * p20 } = ( #6 )
= 3 * 11 * 19 * 397 * 77249 * 52028611730269 * 31097277585323265067

[ 043 ] = { p3 * p43 } = ( #2 ) = SEMIPRIME
= 181 * 1718845917740945365254757519950890116635973

[ 044 ] = { p2 * p6 * p18 * p23 } = ( #4 )
= 11 * 237763 * 100779333131067931 * 11803398903146669028811

[ 045 ] = { p1 * p7 * p9 * p32 } = ( #4 )
= 3 * 2672387 * 349574549 * 11100821280804484261260745435517

[ 046 ] = { p2 * p2 * p45 } = ( #3 )
= 11 * 53 * 533638269487326091099676005336382694873260911

[ 047 ] = { p14 * p35 } = ( #2 ) = SEMIPRIME
= 44963595116003 * 69191778439527738758223732598358371

[ 048 ] = { p1 * p1 * p1 * p2 * p4 * p17 * p28 } = ( #7 )
= 3 * 3 * 3 * 11 * 2137 * 39488221215690439 * 1241329222742247049549446703

[ 049 ] = { p3 * p4 * p7 * p16 * p24 } = ( #5 )
= 131 * 2281 * 5305093 * 1048398350197901 * 187197312930023422133131

[ 050 ] = { p2 * p3 * p3 * p4 * p18 * p25 } = ( #6 )
= 11 * 113 * 829 * 2039 * 462301082202589423 * 3202932061947846171231007

[ 051 ] = { p1 * p26 * p27 } = ( #3 )
= 3 * 26546366348999213244808933 * 390651218853586300186740487

[ 052 ] = { p2 * p6 * p8 * p40 } = ( #4 )
= 11 * 408533 * 23854489 * 2902188225485298038773831448952720493159

[ 053 ] = { p2 * p2 * p3 * p7 * p15 * p28 } = ( #6 )
= 31 * 67 * 557 * 1454699 * 191914629624007 * 9632579625670308945091326869

[ 054 ] = { p1 * p2 * p7 * p13 * p36 } = ( #5 )
= 3 * 11 * 1011443 * 2266875073273 * 411180567864326894739677560038516299

[ 055 ] = { p4 * p54 } = ( #2 ) = SEMIPRIME
= 2273 * 136872464193185706604096397321210343647651170748399081

[ 056 ] = { p2 * p2 * p2 * p3 * p4 * p7 * p11 * p16 * p17 } = ( #9 )
= 11 * 11 * 23 * 499 * 3727 * 1706417 * 10193179439 * 1224433586584619 * 28223593256337431

[ 057 ] = { p1 * p1 * p9 * p14 * p36 } = ( #5 )
= 3 * 3 * 290452499 * 52568081005871 * 226399660688368693903094227322749333

[ 058 ] = { p2 * p2 * p10 * p12 * p36 } = ( #5 )
= 11 * 47 * 9523235011 * 399817949959 * 158044064078519940441302475738512161

[ 059 ] = { p2 * p2 * p23 * p35 } = ( #4 )
= 43 * 53 * 23447500792083916954793 * 58220326618491427194741917284541879

[ 060 ] = { p1 * p2 * p2 * p11 * p49 } = ( #5 )
= 3 * 11 * 19 * 27320233013 * 1816199626255290169315182077192411684267760274663

[ 061 ] = { p3 * p6 * p20 * p35 } = ( #4 )
= 739 * 524933 * 31840406260829704397 * 25187705540744764379324557720317667

[ 062 ] = { p2 * p2 * p3 * p17 * p18 * p25 } = ( #6 )
= 11 * 29 * 461 * 36472237941463283 * 201214924086484573 * 2882712370675552747492373

[ 063 ] = { p1 * p8 * p9 * p10 * p11 * p11 * p18 } = ( #7 )
= 3 * 26553173 * 300672199 * 2776194383 * 37250797277 * 80376356833 * 156268271154529291

[ 064 ] = { p2 * p2 * p9 * p55 } = ( #4 )
= 11 * 59 * 225482039 * 2125978517053389889773808237637182811324800357957293383

[ 065 ] = { p3 * p3 * p12 * p51 } = ( #4 )
= 191 * 199 * 180185254439 * 454265579576886353189163330594525685182888558888263

[ 066 ] = { p1 * p1 * p2 * p7 * p59 } = ( #5 )
= 3 * 3 * 11 * 8986547 * 34969343351454226001850727268992297076313476976972458978321

[ 067 ] = { p3 * p6 * p8 * p21 * p34 } = ( #5 )
= 151 * 212447 * 42691489 * 214849426804288735231 * 1057334662958794605448457190145631

[ 068 ] = { p2 * p2 * p6 * p16 * p47 } = ( #5 )
= 11 * 31 * 238883 * 2219194713980513 * 17209984895651260412152144680067535163839762167

[ 069 ] = { p1 * p20 * p51 } = ( #3 )
= 3 * 24213642154773677213 * 428286265407035016603478512286400017674897457596767

[ 070 ] = { p2 * p4 * p5 * p10 * p26 * p28 } = ( #6 )
= 11 * 1663 * 77171 * 9029422027 * 17408338515066864963795091 * 1402036061943373140919246903

[ 071 ] = { p8 * p29 * p37 } = ( #3 )
= 55274081 * 20529702498432143268986416351 * 2741645729551040393200558893205431223

[ 072 ] = { p1 * p2 * p2 * p25 * p46 } = ( #5 )
= 3 * 11 * 53 * 8950888149181564186856447 * 1987282381343427479693904039431540010670039771

[ 073 ] = { p3 * p16 * p21 * p37 } = ( #4 )
= 419 * 1008192118554157 * 111090219415374073759 * 6629524445112506939529407110154128529

[ 074 ] = { p2 * p4 * p29 * p43 } = ( #4 )
= 11 * 3467 * 27141361116682788322608420641 * 3005642836747171082897679621365498381130289

[ 075 ] = { p1 * p1 * p1 * p1 * p18 * p24 * p34 } = ( #7 )
= 3 * 3 * 3 * 3 * 187076425941189839 * 600984886395625046065823 * 3416236184165330909233396967794409

[ 076 ] = { p2 * p4 * p8 * p30 * p37 } = ( #5 )
= 11 * 2207 * 34094941 * 240428974763371062573540001901 * 1563305140018314805660785471203622509

[ 077 ] = { p4 * p5 * p11 * p60 } = ( #4 )
= 8009 * 29671 * 16246649459 * 805825923416936342588923844753478755149625990424513682230413

[ 078 ] = { p1 * p2 * p2 * p2 * p2 * p3 * p18 * p20 * p35 } = ( #9 )
= 3 * 11 * 11 * 19 * 23 * 821 * 170874566014464073 * 23368182318998578679 * 59824895112649620607216529867950589

[ 079 ] = { p3 * p7 * p72 } = ( #3 )
= 227 * 4532197 * 302399372561218652649376614693242224661891800229884240620545432130140327

[ 080 ] = { p2 * p2 * p3 * p32 * p46 } = ( #5 )
= 11 * 43 * 193 * 30858914368119873342931454404373 * 1104374649091195799889435840782061320377962029

[ 081 ] = { p1 * p2 * p81 } = ( #3 )
= 3 * 61 * 170006071645415907710989678202792956891317547055251973284760170006071645415907711

[ 082 ] = { p2 * p13 * p21 * p50 } = ( #4 )
= 11 * 9064643611817 * 139707601908164723131 * 22333257062207113829761455545343420259222645629529

[ 083 ] = { p2 * p3 * p4 * p26 * p52 } = ( #5 )
= 31 * 607 * 2767 * 44317036360925254045835753 * 1348296067965779852858970078824375082947257829765839

[ 084 ] = { p1 * p1 * p2 * p4 * p5 * p28 * p49 } = ( #7 )
= 3 * 3 * 11 * 1801 * 26479 * 1067295748348304257479830141 * 6174193774215433105601172297239702171649952757833

[ 085 ] = { p2 * p3 * p15 * p31 * p38 } = ( #5 )
= 53 * 373 * 193523087856379 * 2368486366372139962323328132661 * 34334216894434248037258820728748444983

[ 086 ] = { p2 * p2 * p6 * p8 * p72 } = ( #5 )
= 11 * 67 * 534529 * 16207381 * 487263544832241154730081292881407494799488626001186876861840247576858501

[ 087 ] = { p1 * p3 * p4 * p7 * p8 * p13 * p19 * p37 } = ( #8 )
= 3 * 521 * 9421 * 1699921 * 17296703 * 2366772499727 * 4184003196273593279 * 7256362174368287570969092330612091689

[ 088 ] = { p2 * p8 * p10 * p16 * p17 * p40 } = ( #6 )
= 11 * 61535147 * 1743759949 * 1731064241501767 * 35610331938546751 * 4275862082570948825653641689256911103133

[ 089 ] = { p3 * p11 * p11 * p23 * p45 } = ( #5 )
= 677 * 11277295417 * 65445451901 * 24577231931292213682651 * 253343319814876409017308677096216066499018707

[ 090 ] = { p1 * p2 * p2 * p4 * p7 * p9 * p34 * p37 } = ( #8 )
= 3 * 11 * 29 * 3673 * 4338533 * 580612381 * 1269813563830632235578148032359159 * 2767027633469668734216542732976596819

[ 091 ] = { p3 * p4 * p10 * p77 } = ( #4 )
= 463 * 2917 * 4523875997 * 50919884478199135183673424415459064612074124478955913845763710621074837754199

[ 092 ] = { p2 * p3 * p4 * p5 * p5 * p5 * p6 * p10 * p10 * p48 } = ( #10 )
= 11 * 647 * 5021 * 10169 * 26099 * 88607 * 740329 * 4718006047 * 7701826771 * 137619883540941995750002058138265272372396668649

[ 093 ] = { p1 * p1 * p4 * p12 * p17 * p22 * p41 } = ( #7 )
= 3 * 3 * 5059 * 265601278109 * 11485383935632597 * 9292720280387168009051 * 24104037279124247373614527807347586056401

[ 094 ] = { p2 * p6 * p20 * p27 * p43 } = ( #5 )
= 11 * 810949 * 12109381444378380301 * 483776135237503531113897083 * 5953370262043646682240151554897996356120449

[ 095 ] = { p5 * p27 * p66 } = ( #3 )
= 16843 * 449458695119439907907706803 * 410966372174396057711867948160315714372517422201255573434072523097

[ 096 ] = { p1 * p2 * p2 * p7 * p7 * p82 } = ( #6 )
= 3 * 11 * 19 * 4488667 * 6350837 * 1740602596717750880144575233325966502869652783154222177632610452215292829356423461

[ 097 ] = { p4 * p6 * p90 } = ( #3 )
= 2311 * 817679 * 164639004817342043726638986836293132600627681231416185274873204253863979585754529458586977

[ 098 ] = { p2 * p2 * p2 * p4 * p42 * p50 } = ( #6 )  (by Tetsuya Kobayashi)
= 11 * 31 * 53 * 7433 * 522693072915534145859869161391861213022441 * 44307209216750186595015275034427478976321757115777

[ 099 ] = { p1 * p18 * p83 } = ( #3 )
= 3 * 700067917880200729 * 14813377538813315825405357043295755517898075310471215229817059866163659288983635899

[ 100 ] = { p2 * p2 * p2 * p11 * p12 * p31 * p46 } = ( #7 )  (by Makoto Kamada)
= 11 * 11 * 23 * 29989257271 * 383643761357 * 1294302082070838319376867820259<31> * 7507110622420236201433276521297442865419664407

For the continuation of this factorization project link to