What is the 983rd prime number?
The 983rd prime number is 7753. The next prime is 7757 (a gap of 4) and the one before is 7741.
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 983rd one is 7753.
- 2
7753 is prime because no prime up to ā7753 ā 88.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 983rd prime is close to 983 Ć ln(983) ā 6773, and here it is 7753.
- 4
7753 has no twin: neither 7751 nor 7755 is prime.
Primes around the 983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 980 | 7723 | 6 |
| 981 | 7727 | 4 |
| 982 | 7741 | 14 |
| 983 | 7753 | 12 |
| 984 | 7757 | 4 |
| 985 | 7759 | 2 |
| 986 | 7789 | 30 |
Questions
What is the 983rd prime number?
7753.
Which prime number is 7753?
7753 is the 983rd prime number.
What is the sum of the first 983 primes?
3,549,546.