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Smallest primitive polynomials modulo 2
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1 + X + X^3 is primitive modulo 2
2-adic evaluation : 11
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1 + X + X^4 is primitive modulo 2
2-adic evaluation : 19
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1 + X^2 + X^5 is primitive modulo 2
2-adic evaluation : 37
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1 + X + X^6 is primitive modulo 2
2-adic evaluation : 67
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1 + X + X^7 is primitive modulo 2
2-adic evaluation : 131
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1 + X^2 + X^3 + X^4 + X^8 is primitive modulo 2
2-adic evaluation : 285
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1 + X^4 + X^9 is primitive modulo 2
2-adic evaluation : 529
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1 + X^3 + X^10 is primitive modulo 2
2-adic evaluation : 1033
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1 + X^2 + X^11 is primitive modulo 2
2-adic evaluation : 2053
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1 + X + X^4 + X^6 + X^12 is primitive modulo 2
2-adic evaluation : 4179
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1 + X + X^3 + X^4 + X^13 is primitive modulo 2
2-adic evaluation : 8219
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1 + X + X^3 + X^5 + X^14 is primitive modulo 2
2-adic evaluation : 16427
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1 + X + X^15 is primitive modulo 2
2-adic evaluation : 32771
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1 + X^2 + X^3 + X^5 + X^16 is primitive modulo 2
2-adic evaluation : 65581
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1 + X^3 + X^17 is primitive modulo 2
2-adic evaluation : 131081
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1 + X + X^2 + X^5 + X^18 is primitive modulo 2
2-adic evaluation : 262183
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1 + X + X^2 + X^5 + X^19 is primitive modulo 2
2-adic evaluation : 524327
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1 + X^3 + X^20 is primitive modulo 2
2-adic evaluation : 1048585
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1 + X^2 + X^21 is primitive modulo 2
2-adic evaluation : 2097157
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1 + X + X^22 is primitive modulo 2
2-adic evaluation : 4194307
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1 + X^5 + X^23 is primitive modulo 2
2-adic evaluation : 8388641
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1 + X + X^3 + X^4 + X^24 is primitive modulo 2
2-adic evaluation : 16777243
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1 + X^3 + X^25 is primitive modulo 2
2-adic evaluation : 33554441
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1 + X + X^2 + X^6 + X^26 is primitive modulo 2
2-adic evaluation : 67108935
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1 + X + X^2 + X^5 + X^27 is primitive modulo 2
2-adic evaluation : 134217767
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1 + X^3 + X^28 is primitive modulo 2
2-adic evaluation : 268435465
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1 + X^2 + X^29 is primitive modulo 2
2-adic evaluation : 536870917
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1 + X + X^4 + X^6 + X^30 is primitive modulo 2
2-adic evaluation : 1073741907
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1 + X^3 + X^31 is primitive modulo 2
2-adic evaluation : 2147483657
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1 + X^2 + X^6 + X^7 + X^32 is primitive modulo 2
2-adic evaluation : 4294967493
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1 + X + X^4 + X^6 + X^33 is primitive modulo 2
2-adic evaluation : 8589934675
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1 + X^3 + X^4 + X^8 + X^34 is primitive modulo 2
2-adic evaluation : 17179869465
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1 + X^2 + X^35 is primitive modulo 2
2-adic evaluation : 34359738373
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1 + X + X^7 + X^8 + X^36 is primitive modulo 2
2-adic evaluation : 68719477123
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1 + X + X^4 + X^6 + X^37 is primitive modulo 2
2-adic evaluation : 137438953555
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1 + X + X^5 + X^6 + X^38 is primitive modulo 2
2-adic evaluation : 274877907043
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1 + X^4 + X^39 is primitive modulo 2
2-adic evaluation : 549755813905
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1 + X^3 + X^4 + X^5 + X^40 is primitive modulo 2
2-adic evaluation : 1099511627833
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1 + X^3 + X^41 is primitive modulo 2
2-adic evaluation : 2199023255561
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1 + X^3 + X^4 + X^7 + X^42 is primitive modulo 2
2-adic evaluation : 4398046511257
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1 + X^3 + X^4 + X^6 + X^43 is primitive modulo 2
2-adic evaluation : 8796093022297
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1 + X^2 + X^5 + X^6 + X^44 is primitive modulo 2
2-adic evaluation : 17592186044517
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1 + X + X^3 + X^4 + X^45 is primitive modulo 2
2-adic evaluation : 35184372088859
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1 + X^6 + X^7 + X^8 + X^46 is primitive modulo 2
2-adic evaluation : 70368744178113
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1 + X^5 + X^47 is primitive modulo 2
2-adic evaluation : 140737488355361
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1 + X^4 + X^7 + X^9 + X^48 is primitive modulo 2
2-adic evaluation : 281474976711313
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1 + X^4 + X^5 + X^6 + X^49 is primitive modulo 2
2-adic evaluation : 562949953421425
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1 + X^2 + X^3 + X^4 + X^50 is primitive modulo 2
2-adic evaluation : 1125899906842653
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1 + X + X^3 + X^6 + X^51 is primitive modulo 2
2-adic evaluation : 2251799813685323
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1 + X^3 + X^52 is primitive modulo 2
2-adic evaluation : 4503599627370505
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1 + X + X^2 + X^6 + X^53 is primitive modulo 2
2-adic evaluation : 9007199254741063
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1 + X^3 + X^6 + X^8 + X^54 is primitive modulo 2
2-adic evaluation : 18014398509482313
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1 + X + X^2 + X^6 + X^55 is primitive modulo 2
2-adic evaluation : 36028797018964039
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1 + X^2 + X^4 + X^7 + X^56 is primitive modulo 2
2-adic evaluation : 72057594037928085
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1 + X^2 + X^3 + X^5 + X^57 is primitive modulo 2
2-adic evaluation : 144115188075855917
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1 + X + X^5 + X^6 + X^58 is primitive modulo 2
2-adic evaluation : 288230376151711843
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1 + X^2 + X^4 + X^7 + X^59 is primitive modulo 2
2-adic evaluation : 576460752303423637
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1 + X + X^60 is primitive modulo 2
2-adic evaluation : 1152921504606846979
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1 + X + X^2 + X^5 + X^61 is primitive modulo 2
2-adic evaluation : 2305843009213693991
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1 + X^3 + X^5 + X^6 + X^62 is primitive modulo 2
2-adic evaluation : 4611686018427388009
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1 + X + X^63 is primitive modulo 2
2-adic evaluation : 9223372036854775811
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1 + X + X^3 + X^4 + X^64 is primitive modulo 2
2-adic evaluation : 18446744073709551643