What is the 3773rd prime number?
The 3773rd prime number is 35423. The next prime is 35437 (a gap of 14) and the one before is 35419.
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 3773rd one is 35423.
- 2
35423 is prime because no prime up to ā35423 ā 188.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3773rd prime is close to 3773 Ć ln(3773) ā 31073, and here it is 35423.
- 4
35423 has no twin: neither 35421 nor 35425 is prime.
Primes around the 3773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3770 | 35401 | 8 |
| 3771 | 35407 | 6 |
| 3772 | 35419 | 12 |
| 3773 | 35423 | 4 |
| 3774 | 35437 | 14 |
| 3775 | 35447 | 10 |
| 3776 | 35449 | 2 |
Questions
What is the 3773rd prime number?
35423.
Which prime number is 35423?
35423 is the 3773rd prime number.
What is the sum of the first 3773 primes?
62,949,016.