What is the 6025th prime number?
The 6025th prime number is 59617. The next prime is 59621 (a gap of 4) and the one before is 59611.
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 6025th one is 59617.
- 2
59617 is prime because no prime up to ā59617 ā 244.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6025th prime is close to 6025 Ć ln(6025) ā 52440, and here it is 59617.
- 4
59617 has no twin: neither 59615 nor 59619 is prime.
Primes around the 6025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6022 | 59567 | 6 |
| 6023 | 59581 | 14 |
| 6024 | 59611 | 30 |
| 6025 | 59617 | 6 |
| 6026 | 59621 | 4 |
| 6027 | 59627 | 6 |
| 6028 | 59629 | 2 |
Questions
What is the 6025th prime number?
59617.
Which prime number is 59617?
59617 is the 6025th prime number.
What is the sum of the first 6025 primes?
169,935,636.