What is the 3723rd prime number?
The 3723rd prime number is 34877. The next prime is 34883 (a gap of 6) and the one before is 34871.
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 3723rd one is 34877.
- 2
34877 is prime because no prime up to ā34877 ā 186.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3723rd prime is close to 3723 Ć ln(3723) ā 30612, and here it is 34877.
- 4
34877 has no twin: neither 34875 nor 34879 is prime.
Primes around the 3723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3720 | 34847 | 4 |
| 3721 | 34849 | 2 |
| 3722 | 34871 | 22 |
| 3723 | 34877 | 6 |
| 3724 | 34883 | 6 |
| 3725 | 34897 | 14 |
| 3726 | 34913 | 16 |
Questions
What is the 3723rd prime number?
34877.
Which prime number is 34877?
34877 is the 3723rd prime number.
What is the sum of the first 3723 primes?
61,190,708.