The control screening tests for thyroid abnormalities in children is being carried out by the Ministry of the Environment in Hirosaki City in Aomori Prefecture (distance from Fukushima I Nuclear Power Plant about 420 kilometers), Kofu City in Yamanashi Prefecture (about 380 kilometers), and Nagasaki City in Nagasaki Prefecture (about 1,480 kilometers).
The preliminary results have been announced by the Ministry of the Environment, and they more or less match the unofficial small-scale screening test results announced by doctors in Kobe City back in November 2012: Children in these far-away areas have higher incidents of nodules and cysts than children in Fukushima Prefecture.
Aomori and Nagasaki hardly had fallout from the accident. Yamanashi had some fallout, but the numbers don't even compare to the prefectures in Kanto, or even to neighboring Shizuoka.
Fallout from the Fukushima I Nuclear Power Plant accident in these prefectures in March 2011 (Monthly fallout data from the Ministry of Education):
Aomori: I-131 1 MBq/km2, Cs-134 0.12 MBq/km2, Cs-137 0.097 MBq/km2
Yamanashi: I-131 480 MBq/km2, Cs-134 170 MBq/km2, Cs-137 170 MBq/km2
Nagasaki: I-131 9.8 MBq/km2, Cs-134 0.32 MBq/km2, Cs-137 0.35 MBq/km2
Here are the numbers for the thyroid screening, as reported by Fukushima TV on March 8, 2013:
Number of subjects: 4,300 total
Age of subjects: 3 to 18 years
Tests scheduled to run from November 2012 to the end of March 2013
Locations: Hirosaki City, Aomori Prefecture; Kofu City, Yamanashi Prefecture; Nagasaki City, Nagasaki Prefecture
Percentage of children found with nodules and/or cysts
Percentage of children in B-category that requires further testing [with nodules larger than 5mm, cysts larger than 20mm]
Fukushima Prefecture: 41.2%
Nagasaki, Aomori, Yamanashi: 56.6%
Fukushima Prefecture: 0.6%
Nagasaki, Aomori, Yamanashi: 1%
For more on thyroid abnormalities in children, see this togetter if you read Japanese. It seems these thyroid "abnormalities" are quite normally occurring anywhere in Japan.
That's not what many people in Japan and abroad want to hear. The conclusion for people in Japan who believe any bad news and rumors and disbelieves any non-bad news and rumors when it comes to radiation is either that the rest of Japan is so heavily contaminated by the Fukushima nuclear accident that children outside Fukushima have even higher incidents of thyroid abnormalities, or that the government is lying.
The former doesn't make any scientific sense if they want to attribute these abnormalities singularly to the Fukushima nuclear accident (which they do), and the latter doesn't advance any understanding or discussion. But it doesn't seem to matter anyway. Radiation contamination has become almost like a religion, and since the national and local governments and government scientists did such a poor job of informing citizens of the nuclear accident and radiation contamination in the early days of the accident, people heavily discount anything they say or do.
Knowledge hasn't advanced much, with the 2nd anniversary of the triple disaster of earthquake, tsunami and nuclear accident fast approaching.
For that matter, recovery hasn't happened much either, other than the fake dead tree in Rikuzen Takata (which now has fake branches and leaves).