What is the 166th prime number?
The 166th prime number is 983. The next prime is 991 (a gap of 8) and the one before is 977.
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 166th one is 983.
- 2
983 is prime because no prime up to ā983 ā 31.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 166th prime is close to 166 Ć ln(166) ā 849, and here it is 983.
- 4
983 has no twin: neither 981 nor 985 is prime.
Primes around the 166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 163 | 967 | 14 |
| 164 | 971 | 4 |
| 165 | 977 | 6 |
| 166 | 983 | 6 |
| 167 | 991 | 8 |
| 168 | 997 | 6 |
| 169 | 1009 | 12 |
Questions
What is the 166th prime number?
983.
Which prime number is 983?
983 is the 166th prime number.
What is the sum of the first 166 primes?
74,139.