
johnn selfries

johnn luis selfries (17 farwari, 1927-31 octuber, 2010), ack americi ganitshastri they jinhone vishleshanatmak sankhya siddhant, computational sankhya siddhant aur sanyojan vigyaan key kshetron mein yogdan diyaa.
shiksha.
selfries koo uska ph praapt huaa.dee. 1958 mein california vishvavidyalaya seey, loss angils theodor motzkin kii dekhrekh mein.
carrier.
selfries ney 1971 seey 1991 (sevaanivritti) taka ilinois vishvavidyalaya key sankayon mein arbana-shampen aur uttari ilinois vishvavidyalaya mein ganitiya vigyaan vibhaag 1972-1976 aur 1986-1990 kii adhyakshata kii.
way 1978 seey 1986 taka ganitiya sameekshaon key karyakari sampaadak they, joe isake sanchaalan key computerikaran kii dekhrekh karate they. way number theory foundation key sansthaapak they, jisane unake sammaan mein apane swayam key liye puraskar kaa naam rakhaa haye.
shodh.
1962 mein, unhone saabit kiya kii 78,557 ack sirepinsky sankhya haye; unhone dikhaaya kii, jaba "k" = 78,557, roop "k" 2 "n" + 1 kii sabhi sankhyaon mein aavaran sett mein ack kaarak haye. paanch saal baad, unhone aur sierpinsky ney yeh anuman lagaaya kii 78,557 sabse chhoti sierpinsky sankhya haye, aur iss prakaar sierpinsky samasya kaa uttar haye. satrah yaa bust naamak ack vitarit computing pariyojana vartamaan mein iss kathan koo saabit karane kii koshish curr rahee haye, mool satrah sambhaavanaon mein seey kewal paanch bachee hain.
1964 mein, selfries aur alekjendar hervitz ney saabit kiya kii 14veen firmate sankhya sootra _ 1 samagr thaa.
haalaanki, unake saboot ney koee kaarak pradaan naheen kiya. yeh 2010 taka naheen thaa kii 14veen firmate sankhya kaa pahala kaarak paaya gayaa thaa.
1975 mein johnn brilhart, derrick heinry lemar aur selfries ney "pee"-1 aur "pee" + 1 key kewal aanshik gunankhandan koo dekhate hue pee kii prathamikta koo saabit karane kii ack vidhi vikasit kii.
saimuel wagstaff key saath way sabhi ney bhee canningham pariyojana mein bhaag liya.
paul key saath milkar, selfries ney 150 saal purani samasya koo hull kiya, yeh saabit karate hue kii lagaatar sankhya kaa utpaad kabhi bhee ack shakti naheen haye. pramaan khojane mein unhein kaee saal lugg gaye, aur johnn ney computer kaa vyaapak upayog kiya, lekin pramaan key antim sanskaran key liye kewal ack mamuli matra mein ganana kii aavashyakta hoti haye, arthaat "aine" key 30,000 lagaatar moolyon key liye aasaani seey ganana kiye gaye falan aff (aine) kaa mulyankan karna. selfries koo raitar block seey peedit honah padaa aur dhanyavaad "aar. bee. pepper koo usake antim roop mein punargathit karane aur likhane key liye agleton.
selfries ney teen logon key beach irshya-mukt cake kaatane key liye selfries-kanave asatat prakriya bhee vikasit kii. selfries ney ise 1960 mein vikasit kiya, aur johnn conway ney swatantra roop seey 1993 mein isaki khoj kii. unamen seey kissy ney bhee kabhi parinam prakaashit naheen kiya, lekin richard ney 1960 key dashak mein kaee logon koo selfries kaa samadhan bataaya, aur antatah kaee pustakon aur lekhon mein inn donon koo jimmedaar thaharaaya gayaa.
firmate sankhya key baare mein swayam-upkaran kaa anuman.
selfries ney firmate sankhya "fn" = 22 "n" + 1 key baare mein nimnalikhit anuman lagaaya. maan leejiye kii "g" ("n") "fn" key vishisht abhaajya karakon kii sankhya haye. 2016 taka, "g" ("n") kewal "n" = 11 taka jaanaa jaataa haye, aur yeh acrus haye. swa-sanrakshan ney anuman lagaaya kii roop key vipareet, "jee" ("aine") acrus naheen haye. apane anuman key samarthan mein unhone dikhaayah isake satya key liye ack paryaapt (lekin aavashyak naheen) shart paanch gyaat (3,5,17,257,65537) seey parey ack aur firmate "prime" kaa astitva haye.
prathamikta pareekshan key baare mein swa-upkaran kaa anuman.
iss anuman koo selfries, carle pomerance aur saimuel wagstaff key baad pee. aiss. doubleu. anuman bhee kahaa jaataa haye.
maan leejiye kii "p" ack visham sankhya haye, jisamen "p" shna ±2 (modd 5) haye. swayam-nirmit anuman lagaaya kii yadi
jahan "f" k "" k "th fibonechi sankhya haye, tou" p "ack abhaajya sankhya haye, aur unhone ise galat saabit karane key liye ack udaaharan key liye $500 kii peshkash kii. unhone iss baat key pramaan key liye $20 kii peshkash kii kii anuman sach thaa. sankhya siddhant foundation abb iss puraskar koo cover karega. ack udaaharan vaastav mein aapako $620 dega kyonki saimuel wagstaff ack udaaharan yaa pramaan key liye $100 pradaan kartaa haye, aur carle pomerance ack udaaharan key liye $20 aur ack pramaan key liye $500 pradaan kartaa haye. selfries key liye ack kaarak kii aapoorti kii aavashyakta hoti haye, lekin pomerance naheen. sambandhit pareekshan kii "p" shna ±1 (modd 5) key liye "f" p "−1 shna 0 (modd" p ") galat haye aur iska e haye.jee. 6 ankon kaa prati-udaaharan. + 1 (modd 5) key liye sabse chhota prati-udaaharan 6601 = 7 × 23 × 41 haye aur −1 (modd 5) key liye sabse chhota 30889 = 17 × 23 × 79 haye. yeh gyaat honah chaahiye kii pomerance dwara ack shodhaatmak yeh anuman galat hoe sakata haye (aur isaliye, ack prati-udaaharan maujood honah chaahiye).