Clear[x,pnp]pnp=2564855351Show[Plot[(((((pnp^2/x)+x^2))/x)/pnp),{x,0,60000}]]
2564855351
Plot[((pnp-(Sqrt[(x^2*pnp^4+2*pnp*x^5)+x^8])/pnp^4-(1-(x^2/(2*pnp)))*(pnp^2/x^2))),{x,40000,60000}]
2 different equations graphed. As the smaller Prime factor x approaches zero it is the same magnitude of the smaller Prime factor.
Below the same is done for a 2048. Does it work for large numbers as it did for 2564855351? Computation will tell.
2 different equations graphed. As the smaller Prime factor x approaches zero it is the same magnitude of the smaller Prime factor.
Below the same is done for a 2048. Does it work for large numbers as it did for 2564855351? Computation will tell.
Clear[x,pnp]pnp=25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357Show[Plot[(((((pnp^2/x)+x^2))/x)/pnp),{x,0,40861574600078048833983218761558688141}]]
2519590847565789349402718324004839857142928212620403202777713783604366202070
7595556264018525880784406918290641249515082189298559149176184502808489120072
8449926873928072877767359714183472702618963750149718246911650776133798590957
9733045974880842840179742910064245869181719511874612151517265463228221686
9987549182422433637259085141865462043576798423387184774447920739934236584823
8242811981638150106748104516603773060562016196762561338441436038339044149526
3443219011465754445417842402092461651572335077870774981712577246796292638635
6373289912154831438167899885040445364023527381951378636564391212010397122822
120720357
Clear[x,pnp]pnp=25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357Plot[((pnp-(Sqrt[(x^2*pnp^4+2*pnp*x^5)+x^8])/pnp^4-(1-(x^2/(2*pnp)))*(pnp^2/x^2))),{x,0,40861574600078048833983218761558688141}]
2519590847565789349402718324004839857142928212620403202777713783604366202070
7595556264018525880784406918290641249515082189298559149176184502808489120072
8449926873928072877767359714183472702618963750149718246911650776133798590957
9733045974880842840179742910064245869181719511874612151517265463228221686