What is the 4083rd prime number?
The 4083rd prime number is 38737. The next prime is 38747 (a gap of 10) and the one before is 38729.
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 4083rd one is 38737.
- 2
38737 is prime because no prime up to ā38737 ā 196.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4083rd prime is close to 4083 Ć ln(4083) ā 33948, and here it is 38737.
- 4
38737 has no twin: neither 38735 nor 38739 is prime.
Primes around the 4083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4080 | 38713 | 2 |
| 4081 | 38723 | 10 |
| 4082 | 38729 | 6 |
| 4083 | 38737 | 8 |
| 4084 | 38747 | 10 |
| 4085 | 38749 | 2 |
| 4086 | 38767 | 18 |
Questions
What is the 4083rd prime number?
38737.
Which prime number is 38737?
38737 is the 4083rd prime number.
What is the sum of the first 4083 primes?
74,445,962.