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bemirps
A prime which yields a different prime when turned upside down with reversals of both being two more different primes. more

The first 600 bemirps :
1061, 1091, 1601, 1901, 10061, 10091, 16001, 19001, 106861, 109891, 168601, 198901, 1106881, 1109881, 1606081, 1806061, 1809091, 1886011, 1889011, 1909081, 10806881, 10809881, 11061811, 11091811, 11609681, 11698691, 11816011, 11819011, 11906981, 11968961, 16061681, 16098661, 16166681, 16689061, 16880681, 16986911, 18608861, 18616061, 18616681, 18661681, 18666161, 18690611, 18860801, 18890801, 18908891, 18919091, 18919981, 18960911, 18991981, 18999191, 19068991, 19091981, 19199981, 19689611, 19880981, 19986091, 100688611, 100988911, 101060111, 101090111, 106061611, 106186681, 106198601, 106199801, 106888891, 106890011, 106891601, 106968691, 106996801, 108016891, 108019861, 108160081, 108190081, 108661901, 108661981, 108699601, 108966901, 108991601, 108991681, 109091911, 109166801, 109168901, 109189981, 109669801, 109698961, 109860011, 109861901, 109888861, 110068901, 110098601, 110600981, 110900681, 111060101, 111090101, 116088811, 116160601, 116686811, 116886001, 116898961, 116969891, 116999161, 118080161, 118080191, 118618891, 118686611, 118880611, 118880911, 118918861, 118989911, 119088811, 119190901, 119666191, 119696861, 119868691, 119889001, 119989811, 160008661, 160800881, 160980991, 161080811, 161188681, 161668961, 161899861, 161999611, 166086091, 166106981, 166168861, 166180081, 166800061, 166980881, 168668881, 168696911, 168819811, 168861661, 168888901, 168910801, 168998161, 169806181, 169866161, 169896901, 169898611, 180061801, 180081661, 180081991, 180091801, 181608961, 181908691, 186009011, 186199801, 186681601, 186881161, 186901991, 188008061, 188008091, 188086991, 188089661, 188866861, 188899891, 189006011, 189166801, 189601661, 189881191, 189981901, 190008991, 190680661, 190800881, 191080811, 191188981, 191666911, 191866891, 191998691, 196809181, 196868911, 196869601, 196899191, 198610801, 198668191, 198816811, 198888601, 198891991, 198969611, 198998881, 199089061, 199109681, 199180081, 199198891, 199680881, 199800091, 1006088861, 1006606801, 1006919981, 1006986881, 1006986991, 1008688981, 1008816181, 1008819181, 1008988681, 1009088891, 1009616681, 1009689661, 1009689881, 1009909801, 1010601181, 1010886661, 1010889991, 1010901181, 1016011991, 1016118011, 1016880191, 1016910161, 1019011661, 1019118011, 1019610191, 1019880161, 1060116901, 1060900081, 1061069861, 1061900911, 1061989601, 1069010011, 1069110901, 1069119991, 1069669661, 1069891601, 1069916891, 1069981111, 1080068911, 1080098611, 1080860861, 1080890891, 1081169681, 1081196981, 1086066001, 1086916091, 1088068181, 1088098181, 1088600911, 1088900611, 1089099001, 1089619061, 1090119601, 1090600081, 1091096891, 1091600611, 1091686901, 1096010011, 1096110601, 1096116661, 1096619861, 1096681111, 1096861901, 1096996991, 1100106901, 1100109601, 1101186161, 1101189191, 1106089891, 1108116101, 1108119101, 1109086861, 1110010661, 1110010991, 1110606181, 1110909181, 1111866901, 1111899601, 1116001961, 1116119891, 1118066681, 1118099981, 1119001691, 1119116861, 1160010191, 1160061901, 1160098801, 1160816161, 1160896081, 1160919691, 1161110191, 1161111661, 1161118891, 1166019611, 1166819081, 1166996191, 1168818661, 1168900801, 1168901681, 1169106611, 1169611061, 1169669191, 1180606991, 1180909661, 1181161691, 1181191961, 1190010161, 1190068801, 1190091601, 1190616961, 1190819191, 1190869081, 1191110161, 1191111991, 1191118861, 1196109911, 1196911091, 1196996161, 1198600801, 1198601981, 1198818991, 1199016911, 1199669161, 1199816081, 1601066161, 1601169611, 1601806961, 1606980961, 1608109991, 1609169801, 1610100911, 1610111911, 1610180161, 1610196101, 1610806991, 1610810161, 1610889101, 1611199861, 1611860981, 1616180611, 1616601061, 1616608691, 1616811011, 1616908861, 1616996911, 1619669911, 1660100111, 1661109101, 1661111611, 1666018091, 1666116901, 1666880101, 1668188611, 1669080191, 1669090811, 1669669081, 1669669601, 1669869001, 1680680801, 1680869081, 1681618181, 1681898081, 1686119111, 1686809011, 1688096161, 1688111911, 1688806001, 1688901691, 1688960881, 1689166901, 1689601601, 1689911161, 1690896061, 1691006111, 1691068891, 1691911811, 1696081061, 1696160911, 1698099191, 1698988981, 1699686181, 1800060901, 1800090601, 1806189911, 1806980611, 1806980891, 1806996991, 1808681891, 1808981861, 1809186611, 1809669661, 1809680861, 1809680911, 1811060101, 1811090101, 1816060111, 1816188001, 1816869961, 1818161861, 1818191891, 1818608801, 1818908801, 1819090111, 1819188001, 1819896691, 1860981191, 1861098611, 1866169001, 1866608111, 1868868691, 1868898001, 1869611801, 1880698861, 1880968891, 1886896001, 1889869001, 1890681161, 1891068911, 1896911801, 1898868001, 1898898961, 1899196001, 1899908111, 1901099191, 1901196911, 1901809691, 1906196801, 1908106661, 1909680691, 1910100611, 1910111611, 1910169101, 1910180191, 1910809661, 1910810191, 1910886101, 1911166891, 1911890681, 1916996611, 1919180911, 1919608891, 1919669611, 1919811011, 1919901091, 1919908961, 1960869091, 1961009111, 1961098861, 1961611811, 1966989181, 1968066161, 1968688681, 1969081091, 1969190611, 1980896081, 1980980801, 1981868081, 1981918181, 1986199601, 1986611191, 1986901901, 1988069191, 1988111611, 1988601961, 1988690881, 1988809001, 1989116111, 1989806011, 1990100111, 1991106101, 1991111911, 1996060811, 1996080161, 1996896001, 1996996081, 1996996901, 1998188911, 1999018061, 1999119601, 1999880101, 10000169111, 10000196111, 10006090181, 10008808661, 10008808991, 10009060181, 10011611111, 10011699011, 10011911111, 10011966011, 10016016091, 10019019061, 10060160881, 10060860181, 10060891691, 10061016991, 10061180891, 10061801681, 10066109891, 10068600901, 10068619661, 10068910091, 10068966881, 10069009091, 10069111681, 10069819091, 10069916861, 10080106691, 10080109961, 10086080861, 10086108601, 10086901991, 10089080891, 10089108901, 10089601661, 10090190881, 10090861961, 10090890181, 10091019661, 10091180861, 10091801981, 10096006061, 10096111981, 10096619891, 10096816061, 10098610061, 10098699881, 10098900601, 10098916991, 10099106861, 10100006011, 10100009011, 10100010601, 10100010901, 10100169601, 10100196901, 10100669611, 10100996911, 10101688111, 10101988111, 10106118881, 10106980861, 10109118881, 10109680891, 10110060601, 10110090901, 10110689111, 10110986111, 10116186811, 10116610661, 10118661811, 10118991811, 10119189811, 10119910991, 10160191091, 10160680681, 10161110801, 10161186881, 10161889181, 10166166611, 10166191081, 10166680691, 10168008881, 10168060081, 10169001691, 10169106881, 10169111801, 10169190991, 10169660161, 10169901901, 10180160911, 10180190611, 10186006891, 10188618161, 10188918191, 10189009861, 10190161061, 10190980981, 10191110801, 10191189881, 10191886181, 10196001961, 10196109881, 10196111801, 10196160661, 10196601601, 10196990191, 10198008881, 10198090081, 10199161081, 10199199911, 10199980961, 10600681811, 10600868081, 10600989001, 10601000101, 10601061011, 10601608081, 10601986691, 10601988181, 10606001101, 10606801811, 10608610891, 10608809891, 10609069901, 10609101961, 10609668911, 10610116961, 10610669101, 10611606961, 10611919811, 10616009011.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 237392 values, from 1061 to 199999990066801).

n\r 0  1 
20237392 2 
30118988118404 3 
40143097094295 4 
50237392000 5 
60118988000118404 6 
70390233564341787403464002040573 7 
8076252056535066845037760 8 
9039704391000397203934403956439960 9 
10023739200000000 10 
11024632234952219825530227312357525276217362383324386

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.