What is the 663rd prime number?
The 663rd prime number is 4957. The next prime is 4967 (a gap of 10) and the one before is 4951.
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 663rd one is 4957.
- 2
4957 is prime because no prime up to ā4957 ā 70.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 663rd prime is close to 663 Ć ln(663) ā 4307, and here it is 4957.
- 4
4957 has no twin: neither 4955 nor 4959 is prime.
Primes around the 663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 660 | 4937 | 4 |
| 661 | 4943 | 6 |
| 662 | 4951 | 8 |
| 663 | 4957 | 6 |
| 664 | 4967 | 10 |
| 665 | 4969 | 2 |
| 666 | 4973 | 4 |
Questions
What is the 663rd prime number?
4957.
Which prime number is 4957?
4957 is the 663rd prime number.
What is the sum of the first 663 primes?
1,518,248.