What is the 3923rd prime number?
The 3923rd prime number is 36997. The next prime is 37003 (a gap of 6) and the one before is 36979.
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 3923rd one is 36997.
- 2
36997 is prime because no prime up to ā36997 ā 192.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3923rd prime is close to 3923 Ć ln(3923) ā 32461, and here it is 36997.
- 4
36997 has no twin: neither 36995 nor 36999 is prime.
Primes around the 3923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3920 | 36947 | 4 |
| 3921 | 36973 | 26 |
| 3922 | 36979 | 6 |
| 3923 | 36997 | 18 |
| 3924 | 37003 | 6 |
| 3925 | 37013 | 10 |
| 3926 | 37019 | 6 |
Questions
What is the 3923rd prime number?
36997.
Which prime number is 36997?
36997 is the 3923rd prime number.
What is the sum of the first 3923 primes?
68,386,462.