What is the 3728th prime number?
The 3728th prime number is 34939. The next prime is 34949 (a gap of 10) and the one before is 34919.
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 3728th one is 34939.
- 2
34939 is prime because no prime up to ā34939 ā 186.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3728th prime is close to 3728 Ć ln(3728) ā 30658, and here it is 34939.
- 4
34939 has no twin: neither 34937 nor 34941 is prime.
Primes around the 3728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3725 | 34897 | 14 |
| 3726 | 34913 | 16 |
| 3727 | 34919 | 6 |
| 3728 | 34939 | 20 |
| 3729 | 34949 | 10 |
| 3730 | 34961 | 12 |
| 3731 | 34963 | 2 |
Questions
What is the 3728th prime number?
34939.
Which prime number is 34939?
34939 is the 3728th prime number.
What is the sum of the first 3728 primes?
61,365,259.