What is the 973rd prime number?
The 973rd prime number is 7673. The next prime is 7681 (a gap of 8) and the one before is 7669.
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 973rd one is 7673.
- 2
7673 is prime because no prime up to ā7673 ā 87.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 973rd prime is close to 973 Ć ln(973) ā 6695, and here it is 7673.
- 4
7673 has no twin: neither 7671 nor 7675 is prime.
Primes around the 973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 970 | 7643 | 4 |
| 971 | 7649 | 6 |
| 972 | 7669 | 20 |
| 973 | 7673 | 4 |
| 974 | 7681 | 8 |
| 975 | 7687 | 6 |
| 976 | 7691 | 4 |
Questions
What is the 973rd prime number?
7673.
Which prime number is 7673?
7673 is the 973rd prime number.
What is the sum of the first 973 primes?
3,472,424.