What is the 3088th prime number?
The 3088th prime number is 28387. The next prime is 28393 (a gap of 6) and the one before is 28351.
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 3088th one is 28387.
- 2
28387 is prime because no prime up to ā28387 ā 168.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3088th prime is close to 3088 Ć ln(3088) ā 24813, and here it is 28387.
- 4
28387 has no twin: neither 28385 nor 28389 is prime.
Primes around the 3088th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3085 | 28319 | 10 |
| 3086 | 28349 | 30 |
| 3087 | 28351 | 2 |
| 3088 | 28387 | 36 |
| 3089 | 28393 | 6 |
| 3090 | 28403 | 10 |
| 3091 | 28409 | 6 |
Questions
What is the 3088th prime number?
28387.
Which prime number is 28387?
28387 is the 3088th prime number.
What is the sum of the first 3088 primes?
41,100,931.