データの分類 -考察編-

n^2≡n (mod 2)
n^3≡n (mod 3)
n^1≡n (mod 4)
n^5≡n (mod 5)
n^3≡n (mod 6)
n^7≡n (mod 7)
n^1≡n (mod 8)
n^1≡n (mod 9)
n^5≡n (mod 10)
n^11≡n (mod 11)
n^1≡n (mod 12)
n^13≡n (mod 13)
n^7≡n (mod 14)
n^5≡n (mod 15)
n^1≡n (mod 16)
n^17≡n (mod 17)
n^1≡n (mod 18)
n^19≡n (mod 19)
n^1≡n (mod 20)
n^7≡n (mod 21)
n^11≡n (mod 22)
n^23≡n (mod 23)
n^1≡n (mod 24)
n^1≡n (mod 25)
n^13≡n (mod 26)
n^1≡n (mod 27)
n^1≡n (mod 28)
n^29≡n (mod 29)
n^5≡n (mod 30)
n^31≡n (mod 31)
n^1≡n (mod 32)
n^11≡n (mod 33)
n^17≡n (mod 34)
n^13≡n (mod 35)
n^1≡n (mod 36)
n^37≡n (mod 37)
n^19≡n (mod 38)
n^13≡n (mod 39)
n^1≡n (mod 40)
n^41≡n (mod 41)
n^7≡n (mod 42)
n^43≡n (mod 43)
n^1≡n (mod 44)
n^1≡n (mod 45)
n^23≡n (mod 46)
n^47≡n (mod 47)
n^1≡n (mod 48)
n^1≡n (mod 49)
n^1≡n (mod 50)
n^17≡n (mod 51)
n^1≡n (mod 52)
n^53≡n (mod 53)
n^1≡n (mod 54)
n^21≡n (mod 55)
n^1≡n (mod 56)
n^19≡n (mod 57)
n^29≡n (mod 58)
n^59≡n (mod 59)
n^1≡n (mod 60)
n^61≡n (mod 61)
n^31≡n (mod 62)
n^1≡n (mod 63)
n^1≡n (mod 64)
n^13≡n (mod 65)
n^11≡n (mod 66)
n^67≡n (mod 67)
n^1≡n (mod 68)
n^23≡n (mod 69)
n^13≡n (mod 70)
n^71≡n (mod 71)
n^1≡n (mod 72)
n^73≡n (mod 73)
n^37≡n (mod 74)
n^1≡n (mod 75)
n^1≡n (mod 76)
n^31≡n (mod 77)
n^13≡n (mod 78)
n^79≡n (mod 79)
n^1≡n (mod 80)
n^1≡n (mod 81)
n^41≡n (mod 82)
n^83≡n (mod 83)
n^1≡n (mod 84)
n^17≡n (mod 85)
n^43≡n (mod 86)
n^29≡n (mod 87)
n^1≡n (mod 88)
n^89≡n (mod 89)
n^1≡n (mod 90)
n^13≡n (mod 91)
n^1≡n (mod 92)
n^31≡n (mod 93)
n^47≡n (mod 94)
n^37≡n (mod 95)
n^1≡n (mod 96)
n^97≡n (mod 97)
n^1≡n (mod 98)
n^1≡n (mod 99)
n^1≡n (mod 100)

0^7=0≡0 (mod 35)
1^7=1≡1 (mod 35)
2^7=128≡23 (mod 35)
3^7=2187≡17 (mod 35)
4^7=16384≡4 (mod 35)
5^7=78125≡5 (mod 35)
6^7=279936≡6 (mod 35)
7^7=823543≡28 (mod 35)
8^7=2097152≡22 (mod 35)
9^7=4782969≡9 (mod 35)
10^7=10000000≡10 (mod 35)
11^7=19487171≡11 (mod 35)
12^7=35831808≡33 (mod 35)
13^7=62748517≡27 (mod 35)
14^7=105413504≡14 (mod 35)
15^7=170859375≡15 (mod 35)
16^7=268435456≡16 (mod 35)
17^7=410338673≡3 (mod 35)
18^7=612220032≡32 (mod 35)
19^7=893871739≡19 (mod 35)
20^7=1280000000≡20 (mod 35)
21^7=1801088541≡21 (mod 35)
22^7=2494357888≡8 (mod 35)
23^7=3404825447≡2 (mod 35)
24^7=4586471424≡24 (mod 35)
25^7=6103515625≡25 (mod 35)
26^7=8031810176≡26 (mod 35)
27^7=10460353203≡13 (mod 35)
28^7=13492928512≡7 (mod 35)
29^7=17249876309≡29 (mod 35)
30^7=21870000000≡30 (mod 35)
31^7=27512614111≡31 (mod 35)
32^7=34359738368≡18 (mod 35)
33^7=42618442977≡12 (mod 35)
34^7=52523350144≡34 (mod 35)

0^13=0≡0 (mod 35)
1^13=1≡1 (mod 35)
2^13=8192≡2 (mod 35)
3^13=1594323≡3 (mod 35)
4^13=67108864≡4 (mod 35)
5^13=1220703125≡5 (mod 35)
6^13=13060694016≡6 (mod 35)
7^13=96889010407≡7 (mod 35)
8^13=549755813888≡8 (mod 35)
9^13=2541865828329≡9 (mod 35)
10^13=10000000000000≡10 (mod 35)
11^13=34522712143931≡11 (mod 35)
12^13=106993205379072≡12 (mod 35)
13^13=302875106592253≡13 (mod 35)
14^13=793714773254144≡14 (mod 35)
15^13=1946195068359375≡15 (mod 35)
16^13=4503599627370496≡16 (mod 35)
17^13=9904578032905937≡17 (mod 35)
18^13=20822964865671168≡18 (mod 35)
19^13=42052983462257059≡19 (mod 35)
20^13=81920000000000000≡20 (mod 35)
21^13=154472377739119461≡21 (mod 35)
22^13=282810057883082752≡22 (mod 35)
23^13=504036361936467383≡23 (mod 35)
24^13=876488338465357824≡24 (mod 35)
25^13=1490116119384765625≡25 (mod 35)
26^13=2481152873203736576≡26 (mod 35)
27^13=4052555153018976267≡27 (mod 35)
28^13=6502111422497947648≡28 (mod 35)
29^13=10260628712958602189≡29 (mod 35)
30^13=15943230000000000000≡30 (mod 35)
31^13=24417546297445042591≡31 (mod 35)
32^13=36893488147419103232≡32 (mod 35)
33^13=55040353993448503713≡33 (mod 35)
34^13=81138303245565435904≡34 (mod 35)