What is the 3788th prime number?
The 3788th prime number is 35573. The next prime is 35591 (a gap of 18) and the one before is 35569.
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 3788th one is 35573.
- 2
35573 is prime because no prime up to ā35573 ā 188.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3788th prime is close to 3788 Ć ln(3788) ā 31212, and here it is 35573.
- 4
35573 has no twin: neither 35571 nor 35575 is prime.
Primes around the 3788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3785 | 35537 | 4 |
| 3786 | 35543 | 6 |
| 3787 | 35569 | 26 |
| 3788 | 35573 | 4 |
| 3789 | 35591 | 18 |
| 3790 | 35593 | 2 |
| 3791 | 35597 | 4 |
Questions
What is the 3788th prime number?
35573.
Which prime number is 35573?
35573 is the 3788th prime number.
What is the sum of the first 3788 primes?
63,481,651.