What is the 7973rd prime number?
The 7973rd prime number is 81527. The next prime is 81533 (a gap of 6) and the one before is 81517.
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 7973rd one is 81527.
- 2
81527 is prime because no prime up to ā81527 ā 285.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7973rd prime is close to 7973 Ć ln(7973) ā 71628, and here it is 81527.
- 4
81527 has no twin: neither 81525 nor 81529 is prime.
Primes around the 7973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7970 | 81463 | 6 |
| 7971 | 81509 | 46 |
| 7972 | 81517 | 8 |
| 7973 | 81527 | 10 |
| 7974 | 81533 | 6 |
| 7975 | 81547 | 14 |
| 7976 | 81551 | 4 |
Questions
What is the 7973rd prime number?
81527.
Which prime number is 81527?
81527 is the 7973rd prime number.
What is the sum of the first 7973 primes?
307,472,544.