What is the 3766th prime number?
The 3766th prime number is 35353. The next prime is 35363 (a gap of 10) and the one before is 35339.
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 3766th one is 35353.
- 2
35353 is prime because no prime up to ā35353 ā 188.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3766th prime is close to 3766 Ć ln(3766) ā 31008, and here it is 35353.
- 4
35353 has no twin: neither 35351 nor 35355 is prime.
Primes around the 3766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3763 | 35323 | 6 |
| 3764 | 35327 | 4 |
| 3765 | 35339 | 12 |
| 3766 | 35353 | 14 |
| 3767 | 35363 | 10 |
| 3768 | 35381 | 18 |
| 3769 | 35393 | 12 |
Questions
What is the 3766th prime number?
35353.
Which prime number is 35353?
35353 is the 3766th prime number.
What is the sum of the first 3766 primes?
62,701,229.