> t can be verified with a pencil and piece of paper and a calculator, so anybody can do it.
The size of the resulting number would be so incredibly large that no person with pencil and paper and calculator would have even the tiniest chance of being able to verify their number. The chance of even copying it down correctly once would be tiny. The number of pages to write it out is huge. The time for a person to check it by your method would require more than their lifetime.
Thus nobody, not a single human, could check it by your method.
This is a non-idea.
For the math inclined, the nth prime is around n ln n. We need ~130,000,000 of them. Each side will multiply ~half of them. The resulting number is ~(10^9)^(10^9), which has 10^10 digits. Writing one step of the calculation at 5 digits per second would take 62 years.
Since most voting is handled and tallied by county/sub-divisions of that county, and are published as such, wouldn't the number be much smaller? A few thousand per district since you only need to be unique to the place your vote is tallied.
At any scale this method is unusable by the vast majority of people, and it doesn’t prevent tons of other problems such as fake votes added.
Next, votes were once public, but it was too easy to prove who you voted for, making buying votes more valuable. These methods would bring that back, since a voter could prove who they voted for. The US did this for its first 50 years, and Kentucky even had it till ~1890. The modern private vote made it harder to determine who someone voted for, since if someone paid me for a vote I could still vote how I pleased and they couldn’t check me.
The above simplistic method would bring back vote buying.
You're claiming extra votes are never added? That everyone knows this? Citation?
In the 2018 North Carolina 9th Congressional District election had votes added illegally, changing the outcome. The subsequent investigation threw out the fraudulent votes, the illegally elected Mark Harris stepped down, and so far about a dozen people have been charged with felonies.
"At the center of the scandal was the Republican operative Harris had employed in Bladen County, Leslie McCrae Dowless, whose operation, according to investigators, included filling out at least a thousand mail-in-ballot requests, many without voters’ knowledge, and deploying a team of friends, family members, and other associates to pose as election officials and collect them." [1]
There's even a case where in Brussels where a bit flip (often the result of a cosmic ray or soft neutron decay) flipped an election, and it was only caught since suddenly there were 4096 more votes than eligible voters.
So ignoring the possibility of fake votes added is short sighted.
Your claim "everyone knows we can prove this never happens" is demonstrably false.
The size of the resulting number would be so incredibly large that no person with pencil and paper and calculator would have even the tiniest chance of being able to verify their number. The chance of even copying it down correctly once would be tiny. The number of pages to write it out is huge. The time for a person to check it by your method would require more than their lifetime.
Thus nobody, not a single human, could check it by your method.
This is a non-idea.
For the math inclined, the nth prime is around n ln n. We need ~130,000,000 of them. Each side will multiply ~half of them. The resulting number is ~(10^9)^(10^9), which has 10^10 digits. Writing one step of the calculation at 5 digits per second would take 62 years.