What is the 6012th prime number?
The 6012th prime number is 59453. The next prime is 59467 (a gap of 14) and the one before is 59447.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6012th one is 59453.
- 2
59453 is prime because no prime up to ā59453 ā 243.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6012th prime is close to 6012 Ć ln(6012) ā 52313, and here it is 59453.
- 4
59453 has no twin: neither 59451 nor 59455 is prime.
Primes around the 6012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6009 | 59441 | 22 |
| 6010 | 59443 | 2 |
| 6011 | 59447 | 4 |
| 6012 | 59453 | 6 |
| 6013 | 59467 | 14 |
| 6014 | 59471 | 4 |
| 6015 | 59473 | 2 |
Questions
What is the 6012th prime number?
59453.
Which prime number is 59453?
59453 is the 6012th prime number.
What is the sum of the first 6012 primes?
169,161,673.