What is the 2858th prime number?
The 2858th prime number is 25981. The next prime is 25997 (a gap of 16) and the one before is 25969.
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 2858th one is 25981.
- 2
25981 is prime because no prime up to ā25981 ā 161.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2858th prime is close to 2858 Ć ln(2858) ā 22744, and here it is 25981.
- 4
25981 has no twin: neither 25979 nor 25983 is prime.
Primes around the 2858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2855 | 25943 | 4 |
| 2856 | 25951 | 8 |
| 2857 | 25969 | 18 |
| 2858 | 25981 | 12 |
| 2859 | 25997 | 16 |
| 2860 | 25999 | 2 |
| 2861 | 26003 | 4 |
Questions
What is the 2858th prime number?
25981.
Which prime number is 25981?
25981 is the 2858th prime number.
What is the sum of the first 2858 primes?
34,853,889.