What is the 5954th prime number?
The 5954th prime number is 58909. The next prime is 58913 (a gap of 4) and the one before is 58907.
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 5954th one is 58909.
- 2
58909 is prime because no prime up to ā58909 ā 242.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5954th prime is close to 5954 Ć ln(5954) ā 51751, and here it is 58909.
- 4
58909 is a twin prime: 58907 and 58909 are both prime.
Primes around the 5954th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5951 | 58897 | 8 |
| 5952 | 58901 | 4 |
| 5953 | 58907 | 6 |
| 5954 | 58909 | 2 |
| 5955 | 58913 | 4 |
| 5956 | 58921 | 8 |
| 5957 | 58937 | 16 |
Questions
What is the 5954th prime number?
58909.
Which prime number is 58909?
58909 is the 5954th prime number.
What is the sum of the first 5954 primes?
165,728,941.