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Old 2011-01-06, 19:13   #29
ATH
Einyen
 
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Dec 2003
Denmark

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I trialfactored the last 15 exponent with no factors a bit further but with no luck. I'm stopping for now:


Code:
p		Factor(s) of M(p2)/M(p)
--------------------------------------------------
2281		No factor 2*k*p2+1 < 271 (k<226*1012)
4423		No factor 2*k*p2+1 < 273 (k<241*1012)
9941		No factor 2*k*p2+1 < 275 (k<191*1012)
11213		No factor 2*k*p2+1 < 276 (k<300*1012)
19937		No factor 2*k*p2+1 < 277 (k<190*1012)
44497		No factor 2*k*p2+1 < 280 (k<305*1012)
86243 		No factor 2*k*p2+1 < 273.7 (k<1.1*1012)
132049 		No factor 2*k*p2+1 < 275.0 (k<1.1*1012)
216091 		No factor 2*k*p2+1 < 276.4 (k<1.1*1012)
1257787 	No factor 2*k*p2+1 < 281.5 (k<1.1*1012)
2976221 	No factor 2*k*p2+1 < 284.0 (k<1.1*1012)
6972593 	No factor 2*k*p2+1 < 286.4 (k<1.1*1012)
13466917	No factor 2*k*p2+1 < 288.3 (k<1.1*1012)
30402457	No factor 2*k*p2+1 < 290.7 (k<1.1*1012)
43112609	No factor 2*k*p2+1 < 291.7 (k<1.1*1012)

Last fiddled with by ATH on 2011-01-06 at 19:13
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