What is the 5088th prime number?
The 5088th prime number is 49529. The next prime is 49531 (a gap of 2) and the one before is 49523.
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 5088th one is 49529.
- 2
49529 is prime because no prime up to ā49529 ā 222.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5088th prime is close to 5088 Ć ln(5088) ā 43424, and here it is 49529.
- 4
49529 is a twin prime: 49529 and 49531 are both prime.
Primes around the 5088th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5085 | 49481 | 4 |
| 5086 | 49499 | 18 |
| 5087 | 49523 | 24 |
| 5088 | 49529 | 6 |
| 5089 | 49531 | 2 |
| 5090 | 49537 | 6 |
| 5091 | 49547 | 10 |
Questions
What is the 5088th prime number?
49529.
Which prime number is 49529?
49529 is the 5088th prime number.
What is the sum of the first 5088 primes?
118,773,781.