What is the 3785th prime number?
The 3785th prime number is 35537. The next prime is 35543 (a gap of 6) and the one before is 35533.
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 3785th one is 35537.
- 2
35537 is prime because no prime up to ā35537 ā 188.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3785th prime is close to 3785 Ć ln(3785) ā 31184, and here it is 35537.
- 4
35537 has no twin: neither 35535 nor 35539 is prime.
Primes around the 3785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3782 | 35527 | 6 |
| 3783 | 35531 | 4 |
| 3784 | 35533 | 2 |
| 3785 | 35537 | 4 |
| 3786 | 35543 | 6 |
| 3787 | 35569 | 26 |
| 3788 | 35573 | 4 |
Questions
What is the 3785th prime number?
35537.
Which prime number is 35537?
35537 is the 3785th prime number.
What is the sum of the first 3785 primes?
63,374,966.