What is the 7028th prime number?
The 7028th prime number is 70969. The next prime is 70979 (a gap of 10) and the one before is 70957.
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 7028th one is 70969.
- 2
70969 is prime because no prime up to ā70969 ā 266.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7028th prime is close to 7028 Ć ln(7028) ā 62252, and here it is 70969.
- 4
70969 has no twin: neither 70967 nor 70971 is prime.
Primes around the 7028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7025 | 70949 | 12 |
| 7026 | 70951 | 2 |
| 7027 | 70957 | 6 |
| 7028 | 70969 | 12 |
| 7029 | 70979 | 10 |
| 7030 | 70981 | 2 |
| 7031 | 70991 | 10 |
Questions
What is the 7028th prime number?
70969.
Which prime number is 70969?
70969 is the 7028th prime number.
What is the sum of the first 7028 primes?
235,444,483.