What is the 6017th prime number?
The 6017th prime number is 59509. The next prime is 59513 (a gap of 4) and the one before is 59497.
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 6017th one is 59509.
- 2
59509 is prime because no prime up to ā59509 ā 243.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6017th prime is close to 6017 Ć ln(6017) ā 52362, and here it is 59509.
- 4
59509 has no twin: neither 59507 nor 59511 is prime.
Primes around the 6017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6014 | 59471 | 4 |
| 6015 | 59473 | 2 |
| 6016 | 59497 | 24 |
| 6017 | 59509 | 12 |
| 6018 | 59513 | 4 |
| 6019 | 59539 | 26 |
| 6020 | 59557 | 18 |
Questions
What is the 6017th prime number?
59509.
Which prime number is 59509?
59509 is the 6017th prime number.
What is the sum of the first 6017 primes?
169,459,090.