What is the 2857th prime number?
The 2857th prime number is 25969. The next prime is 25981 (a gap of 12) and the one before is 25951.
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 2857th one is 25969.
- 2
25969 is prime because no prime up to ā25969 ā 161.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2857th prime is close to 2857 Ć ln(2857) ā 22735, and here it is 25969.
- 4
25969 has no twin: neither 25967 nor 25971 is prime.
Primes around the 2857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2854 | 25939 | 6 |
| 2855 | 25943 | 4 |
| 2856 | 25951 | 8 |
| 2857 | 25969 | 18 |
| 2858 | 25981 | 12 |
| 2859 | 25997 | 16 |
| 2860 | 25999 | 2 |
Questions
What is the 2857th prime number?
25969.
Which prime number is 25969?
25969 is the 2857th prime number.
What is the sum of the first 2857 primes?
34,827,908.