odd-perfect numbers don't exist

[gd_barnes]

Was this "proof" written by Don Blazys using a different name and ID? It seems so. The timing is just too coincidental.

[science_man_88]

Originally Posted by gd_barnes

Was this "proof" written by Don Blazys using a different name and ID? It seems so. The timing is just too coincidental.

if so this was before his other proof I think:

Originally Posted by science_man_88

www.oddperfectnumbers.com

http://www.chess.com/members/view/corruptedRook. they say they have a degree in math.

maybe you can gain some intel, in fact it may be my fault for him here.

[rogue]

Originally Posted by gd_barnes

Was this "proof" written by Don Blazys using a different name and ID? It seems so. The timing is just too coincidental.

It seems so, but is unlikely. Bill is a regular over at primenumbers on Yahoo and has often tried to prove things and is always unsuccessful.

[science_man_88]

anyone transform the equation in PARI because I get:

 Q^2 + (16*Q^2*y + 4*Q^2)*x + (128*Q^2*y^2 + 32*Q^2*y)*x^2 + (2048/3*Q^2*y^3 - 128/3*Q^2*y)*x^3 + (8192/3*Q^2*y^4 - 4096/3*Q^2*y^3 - 512/3*Q^2*y^2 + 256/3*Q^2*y)*x^4 + (131072/15*Q^2*y^5 - 32768/3*Q^2*y^4 + 8192/3*Q^2*y^3 + 2048/3*Q^2*y^2 - 1024/5*Q^2*y)*x^5 + (1048576/45*Q^2*y^6 - 262144/5*Q^2*y^5 + 327680/9*Q^2*y^4 - 16384/3*Q^2*y^3 - 106496/45*Q^2*y^2 + 8192/15*Q^2*y)*x^6 + (16777216/315*Q^2*y^7 - 8388608/45*Q^2*y^6 + 2097152/9*Q^2*y^5 - 1048576/9*Q^2*y^4 + 458752/45*Q^2*y^3 + 360448/45*Q^2*y^2 - 32768/21*Q^2*y)*x^7 + (33554432/315*Q^2*y^8 - 33554432/63*Q^2*y^7 + 46137344/45*Q^2*y^6 - 8388608/9*Q^2*y^5 + 16646144/45*Q^2*y^4 - 131072/9*Q^2*y^3 - 950272/35*Q^2*y^2 + 32768/7*Q^2*y)*x^8 + (536870912/2835*Q^2*y^9 - 134217728/105*Q^2*y^8 + 469762048/135*Q^2*y^7 - 218103808/45*Q^2*y^6 + 480247808/135*Q^2*y^5 - 52953088/45*Q^2*y^4 - 8388608/2835*Q^2*y^3 + 29229056/315*Q^2*y^2 - 131072/9*Q^2*y)*x^9 + (4294967296/14175*Q^2*y^10 - 1073741824/405*Q^2*y^9 + 9126805504/945*Q^2*y^8 - 2550136832/135*Q^2*y^7 + 14310965248/675*Q^2*y^6 - 1790967808/135*Q^2*y^5 + 10661920768/2835*Q^2*y^4 + 63963136/405*Q^2*y^3 - 504365056/1575*Q^2*y^2 + 2097152/45*Q^2*y)*x^10 + (68719476736/155925*Q^2*y^11 - 68719476736/14175*Q^2*y^10 + 4294967296/189*Q^2*y^9 - 55834574848/945*Q^2*y^8 + 62545461248/675*Q^2*y^7 - 59861106688/675*Q^2*y^6 + 138596581376/2835*Q^2*y^5 - 34242297856/2835*Q^2*y^4 - 171966464/175*Q^2*y^3 + 1757413376/1575*Q^2*y^2 - 8388608/55*Q^2*y)*x^11 + (274877906944/467775*Q^2*y^12 - 137438953472/17325*Q^2*y^11 + 395136991232/8505*Q^2*y^10 - 146028888064/945*Q^2*y^9 + 4543001657344/14175*Q^2*y^8 - 96099893248/225*Q^2*y^7 + 613710561280/1701*Q^2*y^6 - 56405000192/315*Q^2*y^5 + 1656397758464/42525*Q^2*y^4 + 22506635264/4725*Q^2*y^3 - 40777023488/10395*Q^2*y^2 + 16777216/33*Q^2*y)*x^12 + (4398046511104/6081075*Q^2*y^13 - 1099511627776/93555*Q^2*y^12 + 3573412790272/42525*Q^2*y^11 - 2954937499648/8505*Q^2*y^10 + 13005160972288/14175*Q^2*y^9 - 4565550235648/2835*Q^2*y^8 + 80357764366336/42525*Q^2*y^7 - 12260252581888/8505*Q^2*y^6 + 27811389636608/42525*Q^2*y^5 - 214278602752/1701*Q^2*y^4 - 362958290944/17325*Q^2*y^3 + 144518938624/10395*Q^2*y^2 - 67108864/39*Q^2*y)*x^13 + (35184372088832/42567525*Q^2*y^14 - 8796093022208/552825*Q^2*y^13 + 63771674411008/467775*Q^2*y^12 - 29137058136064/42525*Q^2*y^11 + 1511828488192/675*Q^2*y^10 - 70677981822976/14175*Q^2*y^9 + 2286460199763968/297675*Q^2*y^8 - 345570921152512/42525*Q^2*y^7 + 241960203845632/42525*Q^2*y^6 - 101475581689856/42525*Q^2*y^5 + 9087345491968/22275*Q^2*y^4 + 414464344064/4725*Q^2*y^3 - 15650055520256/315315*Q^2*y^2 + 536870912/91*Q^2*y)*x^14 + (562949953421312/638512875*Q^2*y^15 - 281474976710656/14189175*Q^2*y^14 + 281474976710656/1403325*Q^2*y^13 - 562949953421312/467775*Q^2*y^12 + 3039050139172864/637875*Q^2*y^11 - 556352883654656/42525*Q^2*y^10 + 22752743869382656/893025*Q^2*y^9 - 1167406470791168/33075*Q^2*y^8 + 21841051161460736/637875*Q^2*y^7 - 947035993800704/42525*Q^2*y^6 + 12219476162379776/1403325*Q^2*y^5 - 617791317082112/467775*Q^2*y^4 - 25329711362080768/70945875*Q^2*y^3 + 843567010414592/4729725*Q^2*y^2 - 2147483648/105*Q^2*y)*x^15 + O(x^16)

is this helpful if matched with either 12k+1 or 36k+9

[CRGreathouse]

What you posted as an asymptotic series (in particular a MacLaurin series), not an equation. It's only useful if we're taking values of x very close to 0. (Say, less than 1 -- so not an integer.)