Primitive polynomials over GF( 2 )
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The following is a list of primitive polynomials over GF( 2 )
of degrees from 1240 to 1256 with step size 8 .

x^1240 + x^1238 + x^1234 + x^1230 + x^1229 + x^1228 + x^1225 + x^1224 + x^1223 + x^1220 + x^1218 + x^1217 + x^1215 + x^1213 + x^1212 + x^1206 + x^1201 + 
    x^1199 + x^1197 + x^1196 + x^1194 + x^1191 + x^1190 + x^1188 + x^1185 + x^1183 + x^1178 + x^1176 + x^1172 + x^1170 + x^1169 + x^1163 + x^1159 + x^1157 + 
    x^1156 + x^1149 + x^1148 + x^1145 + x^1142 + x^1141 + x^1139 + x^1138 + x^1136 + x^1135 + x^1133 + x^1130 + x^1126 + x^1124 + x^1122 + x^1119 + x^1118 + 
    x^1117 + x^1111 + x^1108 + x^1106 + x^1102 + x^1098 + x^1097 + x^1096 + x^1092 + x^1091 + x^1090 + x^1089 + x^1088 + x^1085 + x^1082 + x^1081 + x^1080 + 
    x^1078 + x^1077 + x^1076 + x^1075 + x^1073 + x^1072 + x^1070 + x^1069 + x^1068 + x^1066 + x^1064 + x^1062 + x^1060 + x^1058 + x^1056 + x^1053 + x^1050 + 
    x^1047 + x^1044 + x^1043 + x^1040 + x^1039 + x^1034 + x^1033 + x^1032 + x^1030 + x^1027 + x^1024 + x^1021 + x^1020 + x^1017 + x^1016 + x^1015 + x^1013 + 
    x^1012 + x^1010 + x^1009 + x^1008 + x^1007 + x^1003 + x^1001 + x^999 + x^998 + x^997 + x^993 + x^992 + x^991 + x^990 + x^989 + x^988 + x^987 + x^984 + 
    x^982 + x^980 + x^976 + x^975 + x^974 + x^971 + x^967 + x^964 + x^961 + x^960 + x^957 + x^955 + x^954 + x^953 + x^952 + x^951 + x^948 + x^947 + x^945 + 
    x^937 + x^936 + x^930 + x^929 + x^928 + x^927 + x^924 + x^923 + x^922 + x^919 + x^918 + x^916 + x^914 + x^912 + x^910 + x^907 + x^906 + x^905 + x^903 + 
    x^902 + x^900 + x^899 + x^896 + x^895 + x^893 + x^891 + x^890 + x^886 + x^885 + x^882 + x^879 + x^878 + x^877 + x^875 + x^874 + x^873 + x^870 + x^868 + 
    x^866 + x^860 + x^859 + x^858 + x^856 + x^854 + x^852 + x^851 + x^850 + x^845 + x^841 + x^839 + x^835 + x^834 + x^833 + x^829 + x^828 + x^826 + x^822 + 
    x^820 + x^818 + x^817 + x^816 + x^815 + x^814 + x^813 + x^812 + x^810 + x^809 + x^806 + x^799 + x^798 + x^797 + x^796 + x^794 + x^792 + x^791 + x^790 + 
    x^786 + x^784 + x^780 + x^777 + x^775 + x^773 + x^772 + x^769 + x^767 + x^763 + x^762 + x^761 + x^759 + x^757 + x^755 + x^754 + x^753 + x^752 + x^750 + 
    x^748 + x^747 + x^742 + x^739 + x^737 + x^735 + x^734 + x^732 + x^731 + x^730 + x^729 + x^728 + x^727 + x^726 + x^723 + x^721 + x^716 + x^715 + x^713 + 
    x^709 + x^708 + x^703 + x^702 + x^697 + x^696 + x^695 + x^693 + x^692 + x^691 + x^690 + x^689 + x^687 + x^684 + x^682 + x^681 + x^678 + x^677 + x^675 + 
    x^674 + x^666 + x^661 + x^660 + x^659 + x^657 + x^656 + x^655 + x^650 + x^645 + x^642 + x^638 + x^635 + x^633 + x^632 + x^631 + x^629 + x^628 + x^625 + 
    x^623 + x^622 + x^620 + x^618 + x^617 + x^616 + x^615 + x^610 + x^608 + x^606 + x^604 + x^603 + x^600 + x^593 + x^591 + x^590 + x^587 + x^586 + x^585 + 
    x^573 + x^570 + x^569 + x^567 + x^566 + x^562 + x^560 + x^558 + x^554 + x^549 + x^546 + x^544 + x^542 + x^540 + x^539 + x^534 + x^533 + x^530 + x^529 + 
    x^527 + x^524 + x^521 + x^520 + x^517 + x^514 + x^513 + x^510 + x^507 + x^505 + x^497 + x^493 + x^492 + x^491 + x^490 + x^489 + x^488 + x^487 + x^483 + 
    x^482 + x^481 + x^480 + x^477 + x^475 + x^471 + x^464 + x^463 + x^462 + x^460 + x^459 + x^456 + x^455 + x^453 + x^450 + x^449 + x^448 + x^447 + x^445 + 
    x^443 + x^439 + x^438 + x^437 + x^434 + x^432 + x^430 + x^427 + x^424 + x^423 + x^421 + x^418 + x^415 + x^414 + x^413 + x^412 + x^410 + x^409 + x^408 + 
    x^407 + x^404 + x^403 + x^402 + x^400 + x^398 + x^395 + x^394 + x^393 + x^391 + x^390 + x^389 + x^384 + x^383 + x^382 + x^376 + x^374 + x^373 + x^371 + 
    x^369 + x^368 + x^367 + x^366 + x^365 + x^362 + x^360 + x^356 + x^351 + x^350 + x^349 + x^348 + x^347 + x^343 + x^341 + x^339 + x^336 + x^335 + x^331 + 
    x^329 + x^328 + x^326 + x^324 + x^322 + x^321 + x^319 + x^318 + x^316 + x^315 + x^314 + x^312 + x^310 + x^306 + x^304 + x^302 + x^301 + x^299 + x^297 + 
    x^294 + x^292 + x^291 + x^285 + x^283 + x^282 + x^281 + x^279 + x^278 + x^276 + x^272 + x^270 + x^269 + x^268 + x^265 + x^264 + x^261 + x^260 + x^258 + 
    x^256 + x^253 + x^250 + x^249 + x^244 + x^243 + x^240 + x^239 + x^238 + x^237 + x^236 + x^235 + x^234 + x^232 + x^231 + x^228 + x^227 + x^221 + x^218 + 
    x^217 + x^216 + x^215 + x^214 + x^208 + x^207 + x^206 + x^204 + x^196 + x^194 + x^191 + x^188 + x^184 + x^183 + x^182 + x^180 + x^179 + x^176 + x^175 + 
    x^174 + x^173 + x^172 + x^171 + x^169 + x^167 + x^164 + x^161 + x^160 + x^159 + x^157 + x^156 + x^155 + x^153 + x^151 + x^150 + x^149 + x^147 + x^144 + 
    x^141 + x^140 + x^138 + x^137 + x^134 + x^132 + x^131 + x^129 + x^123 + x^122 + x^121 + x^118 + x^117 + x^115 + x^114 + x^113 + x^112 + x^107 + x^106 + 
    x^105 + x^104 + x^103 + x^102 + x^101 + x^95 + x^93 + x^89 + x^87 + x^85 + x^83 + x^80 + x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^69 + x^68 + 
    x^66 + x^65 + x^63 + x^61 + x^60 + x^59 + x^57 + x^56 + x^55 + x^52 + x^51 + x^49 + x^42 + x^40 + x^38 + x^36 + x^35 + x^33 + x^32 + x^31 + x^30 + x^25 +
    x^17 + x^13 + x^11 + x^9 + x^7 + x^6 + x^2 + 1
x^1248 + x^1247 + x^1246 + x^1244 + x^1242 + x^1241 + x^1240 + x^1239 + x^1238 + x^1237 + x^1233 + x^1230 + x^1229 + x^1227 + x^1226 + x^1222 + x^1219 + 
    x^1213 + x^1212 + x^1210 + x^1209 + x^1207 + x^1205 + x^1203 + x^1202 + x^1199 + x^1198 + x^1197 + x^1196 + x^1195 + x^1194 + x^1184 + x^1183 + x^1181 + 
    x^1180 + x^1179 + x^1176 + x^1175 + x^1174 + x^1171 + x^1170 + x^1166 + x^1164 + x^1163 + x^1162 + x^1161 + x^1158 + x^1156 + x^1151 + x^1150 + x^1149 + 
    x^1148 + x^1147 + x^1146 + x^1145 + x^1142 + x^1141 + x^1140 + x^1136 + x^1135 + x^1133 + x^1131 + x^1128 + x^1125 + x^1122 + x^1121 + x^1120 + x^1118 + 
    x^1115 + x^1114 + x^1113 + x^1112 + x^1111 + x^1106 + x^1102 + x^1101 + x^1098 + x^1093 + x^1092 + x^1091 + x^1088 + x^1084 + x^1081 + x^1080 + x^1078 + 
    x^1076 + x^1075 + x^1074 + x^1071 + x^1070 + x^1066 + x^1065 + x^1063 + x^1062 + x^1060 + x^1059 + x^1058 + x^1055 + x^1053 + x^1051 + x^1050 + x^1048 + 
    x^1047 + x^1046 + x^1043 + x^1042 + x^1039 + x^1034 + x^1033 + x^1026 + x^1025 + x^1021 + x^1020 + x^1017 + x^1015 + x^1014 + x^1013 + x^1012 + x^1008 + 
    x^1006 + x^1002 + x^1000 + x^999 + x^998 + x^997 + x^996 + x^993 + x^991 + x^990 + x^987 + x^984 + x^983 + x^981 + x^979 + x^975 + x^974 + x^973 + x^972 
    + x^971 + x^968 + x^966 + x^965 + x^956 + x^955 + x^954 + x^952 + x^950 + x^949 + x^948 + x^946 + x^942 + x^941 + x^940 + x^939 + x^938 + x^936 + x^934 +
    x^932 + x^931 + x^929 + x^928 + x^925 + x^924 + x^921 + x^917 + x^916 + x^913 + x^912 + x^911 + x^907 + x^902 + x^901 + x^900 + x^899 + x^897 + x^896 + 
    x^895 + x^892 + x^890 + x^883 + x^882 + x^881 + x^880 + x^879 + x^876 + x^875 + x^874 + x^873 + x^871 + x^870 + x^868 + x^865 + x^862 + x^858 + x^857 + 
    x^852 + x^851 + x^849 + x^848 + x^843 + x^842 + x^839 + x^832 + x^831 + x^830 + x^827 + x^825 + x^821 + x^820 + x^819 + x^818 + x^817 + x^815 + x^811 + 
    x^806 + x^805 + x^804 + x^800 + x^799 + x^797 + x^796 + x^790 + x^789 + x^788 + x^787 + x^786 + x^785 + x^784 + x^783 + x^782 + x^777 + x^776 + x^775 + 
    x^774 + x^772 + x^771 + x^770 + x^769 + x^767 + x^765 + x^762 + x^761 + x^759 + x^758 + x^757 + x^756 + x^752 + x^751 + x^747 + x^745 + x^744 + x^743 + 
    x^742 + x^741 + x^740 + x^738 + x^734 + x^733 + x^732 + x^731 + x^729 + x^727 + x^725 + x^722 + x^721 + x^719 + x^718 + x^717 + x^716 + x^714 + x^713 + 
    x^712 + x^710 + x^709 + x^707 + x^706 + x^704 + x^702 + x^701 + x^700 + x^699 + x^698 + x^697 + x^696 + x^691 + x^690 + x^687 + x^680 + x^679 + x^676 + 
    x^675 + x^674 + x^673 + x^670 + x^669 + x^668 + x^667 + x^666 + x^663 + x^661 + x^657 + x^654 + x^653 + x^652 + x^648 + x^643 + x^639 + x^638 + x^636 + 
    x^633 + x^632 + x^631 + x^627 + x^626 + x^625 + x^623 + x^619 + x^618 + x^615 + x^610 + x^609 + x^608 + x^607 + x^606 + x^603 + x^601 + x^599 + x^598 + 
    x^595 + x^589 + x^588 + x^586 + x^584 + x^582 + x^580 + x^577 + x^574 + x^573 + x^570 + x^568 + x^567 + x^566 + x^565 + x^564 + x^563 + x^562 + x^560 + 
    x^558 + x^557 + x^556 + x^554 + x^548 + x^547 + x^544 + x^543 + x^542 + x^540 + x^537 + x^534 + x^533 + x^532 + x^528 + x^527 + x^526 + x^525 + x^524 + 
    x^522 + x^520 + x^519 + x^518 + x^517 + x^515 + x^513 + x^512 + x^511 + x^509 + x^508 + x^507 + x^505 + x^504 + x^503 + x^502 + x^501 + x^498 + x^497 + 
    x^496 + x^495 + x^489 + x^486 + x^485 + x^482 + x^481 + x^477 + x^476 + x^473 + x^472 + x^471 + x^468 + x^465 + x^464 + x^463 + x^462 + x^461 + x^460 + 
    x^459 + x^458 + x^456 + x^455 + x^452 + x^450 + x^448 + x^446 + x^440 + x^439 + x^435 + x^434 + x^433 + x^430 + x^428 + x^427 + x^424 + x^422 + x^421 + 
    x^419 + x^418 + x^415 + x^414 + x^412 + x^409 + x^408 + x^405 + x^403 + x^401 + x^399 + x^393 + x^392 + x^391 + x^390 + x^389 + x^388 + x^387 + x^386 + 
    x^383 + x^381 + x^380 + x^378 + x^377 + x^375 + x^374 + x^373 + x^372 + x^371 + x^370 + x^368 + x^366 + x^365 + x^361 + x^360 + x^352 + x^351 + x^350 + 
    x^349 + x^345 + x^343 + x^342 + x^339 + x^338 + x^337 + x^334 + x^333 + x^331 + x^330 + x^329 + x^327 + x^324 + x^322 + x^321 + x^320 + x^319 + x^317 + 
    x^314 + x^309 + x^308 + x^307 + x^306 + x^302 + x^301 + x^300 + x^299 + x^297 + x^290 + x^289 + x^284 + x^278 + x^276 + x^274 + x^273 + x^271 + x^270 + 
    x^269 + x^267 + x^266 + x^263 + x^262 + x^261 + x^258 + x^257 + x^255 + x^251 + x^248 + x^247 + x^246 + x^243 + x^241 + x^240 + x^232 + x^230 + x^229 + 
    x^228 + x^226 + x^223 + x^220 + x^219 + x^218 + x^214 + x^210 + x^209 + x^208 + x^205 + x^204 + x^202 + x^201 + x^200 + x^199 + x^195 + x^194 + x^193 + 
    x^191 + x^189 + x^188 + x^187 + x^184 + x^179 + x^177 + x^176 + x^175 + x^169 + x^167 + x^162 + x^161 + x^157 + x^154 + x^153 + x^152 + x^151 + x^150 + 
    x^145 + x^143 + x^141 + x^140 + x^138 + x^136 + x^133 + x^131 + x^128 + x^127 + x^124 + x^123 + x^122 + x^120 + x^119 + x^114 + x^112 + x^110 + x^108 + 
    x^107 + x^106 + x^103 + x^102 + x^101 + x^100 + x^98 + x^96 + x^95 + x^94 + x^92 + x^89 + x^88 + x^86 + x^84 + x^81 + x^78 + x^74 + x^72 + x^71 + x^68 + 
    x^67 + x^64 + x^62 + x^59 + x^56 + x^52 + x^51 + x^50 + x^49 + x^47 + x^45 + x^42 + x^40 + x^39 + x^35 + x^34 + x^31 + x^30 + x^26 + x^25 + x^23 + x^22 +
    x^21 + x^20 + x^19 + x^18 + x^17 + x^14 + x^12 + x^9 + x^6 + x^5 + x^4 + x^2 + 1
x^1256 + x^31 + x^30 + x^2 + 1