What is the 3973rd prime number?
The 3973rd prime number is 37529. The next prime is 37537 (a gap of 8) and the one before is 37517.
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 3973rd one is 37529.
- 2
37529 is prime because no prime up to ā37529 ā 193.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3973rd prime is close to 3973 Ć ln(3973) ā 32925, and here it is 37529.
- 4
37529 has no twin: neither 37527 nor 37531 is prime.
Primes around the 3973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3970 | 37507 | 6 |
| 3971 | 37511 | 4 |
| 3972 | 37517 | 6 |
| 3973 | 37529 | 12 |
| 3974 | 37537 | 8 |
| 3975 | 37547 | 10 |
| 3976 | 37549 | 2 |
Questions
What is the 3973rd prime number?
37529.
Which prime number is 37529?
37529 is the 3973rd prime number.
What is the sum of the first 3973 primes?
70,250,238.