What is the 2770th prime number?
The 2770th prime number is 25097. The next prime is 25111 (a gap of 14) and the one before is 25087.
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 2770th one is 25097.
- 2
25097 is prime because no prime up to ā25097 ā 158.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2770th prime is close to 2770 Ć ln(2770) ā 21957, and here it is 25097.
- 4
25097 has no twin: neither 25095 nor 25099 is prime.
Primes around the 2770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2767 | 25057 | 20 |
| 2768 | 25073 | 16 |
| 2769 | 25087 | 14 |
| 2770 | 25097 | 10 |
| 2771 | 25111 | 14 |
| 2772 | 25117 | 6 |
| 2773 | 25121 | 4 |
Questions
What is the 2770th prime number?
25097.
Which prime number is 25097?
25097 is the 2770th prime number.
What is the sum of the first 2770 primes?
32,606,145.