What is the 5675th prime number?
The 5675th prime number is 55903. The next prime is 55921 (a gap of 18) and the one before is 55901.
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 5675th one is 55903.
- 2
55903 is prime because no prime up to ā55903 ā 236.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5675th prime is close to 5675 Ć ln(5675) ā 49054, and here it is 55903.
- 4
55903 is a twin prime: 55901 and 55903 are both prime.
Primes around the 5675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5672 | 55889 | 18 |
| 5673 | 55897 | 8 |
| 5674 | 55901 | 4 |
| 5675 | 55903 | 2 |
| 5676 | 55921 | 18 |
| 5677 | 55927 | 6 |
| 5678 | 55931 | 4 |
Questions
What is the 5675th prime number?
55903.
Which prime number is 55903?
55903 is the 5675th prime number.
What is the sum of the first 5675 primes?
149,719,772.