What is the 1971st prime number?
The 1971st prime number is 17099. The next prime is 17107 (a gap of 8) and the one before is 17093.
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 1971st one is 17099.
- 2
17099 is prime because no prime up to ā17099 ā 130.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1971st prime is close to 1971 Ć ln(1971) ā 14953, and here it is 17099.
- 4
17099 has no twin: neither 17097 nor 17101 is prime.
Primes around the 1971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1968 | 17053 | 6 |
| 1969 | 17077 | 24 |
| 1970 | 17093 | 16 |
| 1971 | 17099 | 6 |
| 1972 | 17107 | 8 |
| 1973 | 17117 | 10 |
| 1974 | 17123 | 6 |
Questions
What is the 1971st prime number?
17099.
Which prime number is 17099?
17099 is the 1971st prime number.
What is the sum of the first 1971 primes?
15,774,140.