(Adding categories) Tag: categoryselect |
m (Changed protection level for "1,000,000,007" ([edit=autoconfirmed] (expires 23:48, January 6, 9868 (UTC)) [move=autoconfirmed] (expires 23:48, January 6, 9868 (UTC)))) |
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|title = 1,000,000,007 |
|title = 1,000,000,007 |
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|image = 1,000,000,007.png |
|image = 1,000,000,007.png |
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|imagewidth = 250 |
|imagewidth = 250 |
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|roman-number = |
|roman-number = |
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− | |ordinal-number =one billion seventh |
+ | |ordinal-number = one billion seventh |
− | |previous =999,999,937 |
+ | |previous = 999,999,937 |
− | |next =1,000,000,009 |
+ | |next = 1,000,000,009 |
− | |cardinal-number =one billion seven |
+ | |cardinal-number = one billion seven |
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− | |Base-2 Form = |
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− | |Base-8 Form = |
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− | |Base-16 Form =|standard-form = }} |
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− | 1,000,000,007 is the second largest 9-digit prime. 1,000,000,007 has 2 factors, 1 and 1,000,000,007. It is the 50847535th prime number. |
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==Proofs== |
==Proofs== |
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*{{Divisibility number|Yes|1}} |
*{{Divisibility number|Yes|1}} |
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− | *{{Divisibility number|No|2-1,000,000, |
+ | *{{Divisibility number|No|2-1,000,000,006}} |
*{{Divisibility number|Yes|{{PAGENAME}}}} |
*{{Divisibility number|Yes|{{PAGENAME}}}} |
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+ | |||
==Relationship with other odd numbers== |
==Relationship with other odd numbers== |
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+ | ===The numbers before=== |
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+ | *The previous prime number is [[999,999,937]], 70 numbers away. |
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+ | *999,999,941 is the product of 113, 149, and 59,393. |
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+ | *999,999,943 is the product of 5,623 and 117,841. |
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+ | *999,999,947 is the product of 163 and 6,134,969. |
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+ | *999,999,949 is the product of 13, 4,091, and 53,183. |
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+ | *999,999,953 is the product of 29, 31, 773, and 1,439. |
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+ | *999,999,959 is the product of 7, 17, 43, and 195,427. |
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+ | *999,999,961 is the product of 3,673 and 272,257. |
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+ | *999,999,967 is the product of 3,257 and 307,031. |
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+ | *999,999,971 is the product of 193 and 5,181,347. |
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+ | *999,999,973 is the product of 7, 997, and 143,287. |
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+ | *999,999,977 is the product of 2,971 and 336,587. |
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+ | *999,999,979 is the product of 11 and 90,909,089. |
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+ | *999,999,983 is the product of 337 and 2,967,359. |
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+ | *999,999,989 is the product of 4,327 and 231,107. |
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+ | *999,999,991 is the product of 67 and 14,925,373. |
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+ | *999,999,997 is the product of 71, 2,251, and 6,257. |
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+ | *1,000,000,001 is the product of 7, 11, 13, 19, and 52,579. |
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+ | *1,000,000,003 is the product of 23, 307, and 141,623. |
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+ | |||
+ | ===The numbers after=== |
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+ | *The next prime number is [[1,000,000,009]], 2 numbers away. |
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+ | **Therefore, 1,000,000,007 and 1,000,000,009 are twin primes. |
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[[Category:Prime Numbers]] |
[[Category:Prime Numbers]] |
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[[Category:10-Digit Prime Numbers]] |
[[Category:10-Digit Prime Numbers]] |
Latest revision as of 11:43, 27 January 2018
1,000,000,007 is the smallest 10-digit prime, falling short of 1,000,000,000 by just 7. 1,000,000,007 has 2 factors, 1 and 1,000,000,007. It is the 50,847,535th prime number.
Proofs
Relationship with other odd numbers
The numbers before
- The previous prime number is 999,999,937, 70 numbers away.
- 999,999,941 is the product of 113, 149, and 59,393.
- 999,999,943 is the product of 5,623 and 117,841.
- 999,999,947 is the product of 163 and 6,134,969.
- 999,999,949 is the product of 13, 4,091, and 53,183.
- 999,999,953 is the product of 29, 31, 773, and 1,439.
- 999,999,959 is the product of 7, 17, 43, and 195,427.
- 999,999,961 is the product of 3,673 and 272,257.
- 999,999,967 is the product of 3,257 and 307,031.
- 999,999,971 is the product of 193 and 5,181,347.
- 999,999,973 is the product of 7, 997, and 143,287.
- 999,999,977 is the product of 2,971 and 336,587.
- 999,999,979 is the product of 11 and 90,909,089.
- 999,999,983 is the product of 337 and 2,967,359.
- 999,999,989 is the product of 4,327 and 231,107.
- 999,999,991 is the product of 67 and 14,925,373.
- 999,999,997 is the product of 71, 2,251, and 6,257.
- 1,000,000,001 is the product of 7, 11, 13, 19, and 52,579.
- 1,000,000,003 is the product of 23, 307, and 141,623.
The numbers after
- The next prime number is 1,000,000,009, 2 numbers away.
- Therefore, 1,000,000,007 and 1,000,000,009 are twin primes.