What is the 993rd prime number?
The 993rd prime number is 7867. The next prime is 7873 (a gap of 6) and the one before is 7853.
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 993rd one is 7867.
- 2
7867 is prime because no prime up to ā7867 ā 88.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 993rd prime is close to 993 Ć ln(993) ā 6852, and here it is 7867.
- 4
7867 has no twin: neither 7865 nor 7869 is prime.
Primes around the 993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 990 | 7829 | 6 |
| 991 | 7841 | 12 |
| 992 | 7853 | 12 |
| 993 | 7867 | 14 |
| 994 | 7873 | 6 |
| 995 | 7877 | 4 |
| 996 | 7879 | 2 |
Questions
What is the 993rd prime number?
7867.
Which prime number is 7867?
7867 is the 993rd prime number.
What is the sum of the first 993 primes?
3,627,674.