What is the 3724th prime number?
The 3724th prime number is 34883. The next prime is 34897 (a gap of 14) and the one before is 34877.
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 3724th one is 34883.
- 2
34883 is prime because no prime up to ā34883 ā 186.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3724th prime is close to 3724 Ć ln(3724) ā 30621, and here it is 34883.
- 4
34883 has no twin: neither 34881 nor 34885 is prime.
Primes around the 3724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3721 | 34849 | 2 |
| 3722 | 34871 | 22 |
| 3723 | 34877 | 6 |
| 3724 | 34883 | 6 |
| 3725 | 34897 | 14 |
| 3726 | 34913 | 16 |
| 3727 | 34919 | 6 |
Questions
What is the 3724th prime number?
34883.
Which prime number is 34883?
34883 is the 3724th prime number.
What is the sum of the first 3724 primes?
61,225,591.