What is the 4073rd prime number?
The 4073rd prime number is 38669. The next prime is 38671 (a gap of 2) and the one before is 38653.
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 4073rd one is 38669.
- 2
38669 is prime because no prime up to ā38669 ā 196.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4073rd prime is close to 4073 Ć ln(4073) ā 33855, and here it is 38669.
- 4
38669 is a twin prime: 38669 and 38671 are both prime.
Primes around the 4073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4070 | 38639 | 10 |
| 4071 | 38651 | 12 |
| 4072 | 38653 | 2 |
| 4073 | 38669 | 16 |
| 4074 | 38671 | 2 |
| 4075 | 38677 | 6 |
| 4076 | 38693 | 16 |
Questions
What is the 4073rd prime number?
38669.
Which prime number is 38669?
38669 is the 4073rd prime number.
What is the sum of the first 4073 primes?
74,058,902.