What is the 1970th prime number?
The 1970th prime number is 17093. The next prime is 17099 (a gap of 6) and the one before is 17077.
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 1970th one is 17093.
- 2
17093 is prime because no prime up to ā17093 ā 130.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1970th prime is close to 1970 Ć ln(1970) ā 14944, and here it is 17093.
- 4
17093 has no twin: neither 17091 nor 17095 is prime.
Primes around the 1970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1967 | 17047 | 6 |
| 1968 | 17053 | 6 |
| 1969 | 17077 | 24 |
| 1970 | 17093 | 16 |
| 1971 | 17099 | 6 |
| 1972 | 17107 | 8 |
| 1973 | 17117 | 10 |
Questions
What is the 1970th prime number?
17093.
Which prime number is 17093?
17093 is the 1970th prime number.
What is the sum of the first 1970 primes?
15,757,041.