2430.sagews

Nach Clifford A. Pickover

Dr. Googols wundersame Welt der Zahlen

ISBN 3-423-34177-7

30 Primzahlzyklen und ##, Seite 151

[email protected]

def FI(n):
    z=gap(n)
    fac=z.Factors()
    s=0
    for i in range(1,1+len(fac)):
        s = s+fac[i]
    return s
    
def ZY(n):
    i=0
    z=n
    for i in range(45):
        print z,
        z=101*FI(z) + 53   
        i=i+1

ZY(210032)

210032 1326688 382843 38667196 976347156 8217589323 276658840897 2005812 5628480 8638 63279 17627 1780380 18738 36211 76106 3843608 48526210 490115481 13464464 348200 177510 17021 1719174 118728 12779 100649 10165602 166703 16837056 2954202 142766 6921 78328 989550 76207 7696960 44796 377793 328101 11046423 388398 346584 210032 1326688

in ZY(n):  z=a*FI(z)+b

 a                         b                Periode

 6                         1                25

 7                         1                 9

 7                         5                 5

 7                         6                 9

 8                         1                23

 9                         1                17 

10                        1                  4 

11                        1                36

12                      11                50

13                      12                59

36                      19                38