What is the 3763rd prime number?
The 3763rd prime number is 35323. The next prime is 35327 (a gap of 4) and the one before is 35317.
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 3763rd one is 35323.
- 2
35323 is prime because no prime up to ā35323 ā 187.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3763rd prime is close to 3763 Ć ln(3763) ā 30981, and here it is 35323.
- 4
35323 has no twin: neither 35321 nor 35325 is prime.
Primes around the 3763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3760 | 35291 | 10 |
| 3761 | 35311 | 20 |
| 3762 | 35317 | 6 |
| 3763 | 35323 | 6 |
| 3764 | 35327 | 4 |
| 3765 | 35339 | 12 |
| 3766 | 35353 | 14 |
Questions
What is the 3763rd prime number?
35323.
Which prime number is 35323?
35323 is the 3763rd prime number.
What is the sum of the first 3763 primes?
62,595,210.