What is the 3764th prime number?
The 3764th prime number is 35327. The next prime is 35339 (a gap of 12) and the one before is 35323.
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 3764th one is 35327.
- 2
35327 is prime because no prime up to ā35327 ā 187.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3764th prime is close to 3764 Ć ln(3764) ā 30990, and here it is 35327.
- 4
35327 has no twin: neither 35325 nor 35329 is prime.
Primes around the 3764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3761 | 35311 | 20 |
| 3762 | 35317 | 6 |
| 3763 | 35323 | 6 |
| 3764 | 35327 | 4 |
| 3765 | 35339 | 12 |
| 3766 | 35353 | 14 |
| 3767 | 35363 | 10 |
Questions
What is the 3764th prime number?
35327.
Which prime number is 35327?
35327 is the 3764th prime number.
What is the sum of the first 3764 primes?
62,630,537.