What is the 2952nd prime number?
The 2952nd prime number is 26903. The next prime is 26921 (a gap of 18) and the one before is 26893.
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 2952nd one is 26903.
- 2
26903 is prime because no prime up to ā26903 ā 164.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2952nd prime is close to 2952 Ć ln(2952) ā 23587, and here it is 26903.
- 4
26903 has no twin: neither 26901 nor 26905 is prime.
Primes around the 2952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2949 | 26881 | 2 |
| 2950 | 26891 | 10 |
| 2951 | 26893 | 2 |
| 2952 | 26903 | 10 |
| 2953 | 26921 | 18 |
| 2954 | 26927 | 6 |
| 2955 | 26947 | 20 |
Questions
What is the 2952nd prime number?
26903.
Which prime number is 26903?
26903 is the 2952nd prime number.
What is the sum of the first 2952 primes?
37,340,941.