What is the 6013th prime number?
The 6013th prime number is 59467. The next prime is 59471 (a gap of 4) and the one before is 59453.
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 6013th one is 59467.
- 2
59467 is prime because no prime up to ā59467 ā 243.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6013th prime is close to 6013 Ć ln(6013) ā 52323, and here it is 59467.
- 4
59467 has no twin: neither 59465 nor 59469 is prime.
Primes around the 6013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6010 | 59443 | 2 |
| 6011 | 59447 | 4 |
| 6012 | 59453 | 6 |
| 6013 | 59467 | 14 |
| 6014 | 59471 | 4 |
| 6015 | 59473 | 2 |
| 6016 | 59497 | 24 |
Questions
What is the 6013th prime number?
59467.
Which prime number is 59467?
59467 is the 6013th prime number.
What is the sum of the first 6013 primes?
169,221,140.