What is the 1976th prime number?
The 1976th prime number is 17159. The next prime is 17167 (a gap of 8) and the one before is 17137.
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 1976th one is 17159.
- 2
17159 is prime because no prime up to ā17159 ā 130.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1976th prime is close to 1976 Ć ln(1976) ā 14996, and here it is 17159.
- 4
17159 has no twin: neither 17157 nor 17161 is prime.
Primes around the 1976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1973 | 17117 | 10 |
| 1974 | 17123 | 6 |
| 1975 | 17137 | 14 |
| 1976 | 17159 | 22 |
| 1977 | 17167 | 8 |
| 1978 | 17183 | 16 |
| 1979 | 17189 | 6 |
Questions
What is the 1976th prime number?
17159.
Which prime number is 17159?
17159 is the 1976th prime number.
What is the sum of the first 1976 primes?
15,859,783.